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Finding the Fourth Proportional to 224,415.16, 309,711.42 and 127,649.32

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Solution

The fourth proportional to 224,415.16, 309,711.42 and 127,649.32 is: 176,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,415.16 : 309,711.42 = 127,649.32 : x
  2. Step 2: Convert to fraction form
    224,415.16/309,711.42 = 127,649.32/x
  3. Step 3: Cross multiply
    224,415.16x = 309,711.42 × 127,649.32
  4. Step 4: Simplify right side
    224,415.16x = 39,534,452,159.23
  5. Step 5: Solve for x
    x = 39,534,452,159.23/224,415.16
  6. Step 6: Final answer
    x = 176,166.58

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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.