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Finding the Fourth Proportional to 163,071.35, 224,830.14 and 105,609.14

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Solution

The fourth proportional to 163,071.35, 224,830.14 and 105,609.14 is: 145,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,071.35 : 224,830.14 = 105,609.14 : x
  2. Step 2: Convert to fraction form
    163,071.35/224,830.14 = 105,609.14/x
  3. Step 3: Cross multiply
    163,071.35x = 224,830.14 × 105,609.14
  4. Step 4: Simplify right side
    163,071.35x = 23,744,117,731.48
  5. Step 5: Solve for x
    x = 23,744,117,731.48/163,071.35
  6. Step 6: Final answer
    x = 145,605.70

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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.