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Finding the Fourth Proportional to 224,608.64, 309,962.24 and 124,006.40

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Solution

The fourth proportional to 224,608.64, 309,962.24 and 124,006.40 is: 171,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,608.64 : 309,962.24 = 124,006.40 : x
  2. Step 2: Convert to fraction form
    224,608.64/309,962.24 = 124,006.40/x
  3. Step 3: Cross multiply
    224,608.64x = 309,962.24 × 124,006.40
  4. Step 4: Simplify right side
    224,608.64x = 38,437,301,518.34
  5. Step 5: Solve for x
    x = 38,437,301,518.34/224,608.64
  6. Step 6: Final answer
    x = 171,130.11

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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.