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Finding the Fourth Proportional to 102,202, 141,017.52 and 59,752.32

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Solution

The fourth proportional to 102,202, 141,017.52 and 59,752.32 is: 82,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,202 : 141,017.52 = 59,752.32 : x
  2. Step 2: Convert to fraction form
    102,202/141,017.52 = 59,752.32/x
  3. Step 3: Cross multiply
    102,202x = 141,017.52 × 59,752.32
  4. Step 4: Simplify right side
    102,202x = 8,426,123,980.65
  5. Step 5: Solve for x
    x = 8,426,123,980.65/102,202
  6. Step 6: Final answer
    x = 82,445.78

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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.