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Finding the Fourth Proportional to 224,567.40, 309,892.12 and 127,762.14

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Solution

The fourth proportional to 224,567.40, 309,892.12 and 127,762.14 is: 176,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,567.40 : 309,892.12 = 127,762.14 : x
  2. Step 2: Convert to fraction form
    224,567.40/309,892.12 = 127,762.14/x
  3. Step 3: Cross multiply
    224,567.40x = 309,892.12 × 127,762.14
  4. Step 4: Simplify right side
    224,567.40x = 39,592,480,420.34
  5. Step 5: Solve for x
    x = 39,592,480,420.34/224,567.40
  6. Step 6: Final answer
    x = 176,305.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.