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Finding the Fourth Proportional to 102,294.59, 153,337.32 and 69,018.03

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Solution

The fourth proportional to 102,294.59, 153,337.32 and 69,018.03 is: 103,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,294.59 : 153,337.32 = 69,018.03 : x
  2. Step 2: Convert to fraction form
    102,294.59/153,337.32 = 69,018.03/x
  3. Step 3: Cross multiply
    102,294.59x = 153,337.32 × 69,018.03
  4. Step 4: Simplify right side
    102,294.59x = 10,583,039,751.88
  5. Step 5: Solve for x
    x = 10,583,039,751.88/102,294.59
  6. Step 6: Final answer
    x = 103,456.50

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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.