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Finding the Fourth Proportional to 102,001.90, 153,002.85 and 42,904.30

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Solution

The fourth proportional to 102,001.90, 153,002.85 and 42,904.30 is: 64,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001.90 : 153,002.85 = 42,904.30 : x
  2. Step 2: Convert to fraction form
    102,001.90/153,002.85 = 42,904.30/x
  3. Step 3: Cross multiply
    102,001.90x = 153,002.85 × 42,904.30
  4. Step 4: Simplify right side
    102,001.90x = 6,564,480,177.26
  5. Step 5: Solve for x
    x = 6,564,480,177.26/102,001.90
  6. Step 6: Final answer
    x = 64,356.45

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