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Finding the Fourth Proportional to 364,140.38, 546,210.56 and 114,822.38

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Solution

The fourth proportional to 364,140.38, 546,210.56 and 114,822.38 is: 172,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,140.38 : 546,210.56 = 114,822.38 : x
  2. Step 2: Convert to fraction form
    364,140.38/546,210.56 = 114,822.38/x
  3. Step 3: Cross multiply
    364,140.38x = 546,210.56 × 114,822.38
  4. Step 4: Simplify right side
    364,140.38x = 62,717,194,036.34
  5. Step 5: Solve for x
    x = 62,717,194,036.34/364,140.38
  6. Step 6: Final answer
    x = 172,233.56

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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.