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Finding the Fourth Proportional to 364,139.16, 546,312.42 and 153,737.88

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Solution

The fourth proportional to 364,139.16, 546,312.42 and 153,737.88 is: 230,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,139.16 : 546,312.42 = 153,737.88 : x
  2. Step 2: Convert to fraction form
    364,139.16/546,312.42 = 153,737.88/x
  3. Step 3: Cross multiply
    364,139.16x = 546,312.42 × 153,737.88
  4. Step 4: Simplify right side
    364,139.16x = 83,988,913,268.47
  5. Step 5: Solve for x
    x = 83,988,913,268.47/364,139.16
  6. Step 6: Final answer
    x = 230,650.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.