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Finding the Fourth Proportional to 102,374.10, 153,561.14 and 28,502.10

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Solution

The fourth proportional to 102,374.10, 153,561.14 and 28,502.10 is: 42,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,374.10 : 153,561.14 = 28,502.10 : x
  2. Step 2: Convert to fraction form
    102,374.10/153,561.14 = 28,502.10/x
  3. Step 3: Cross multiply
    102,374.10x = 153,561.14 × 28,502.10
  4. Step 4: Simplify right side
    102,374.10x = 4,376,814,968.39
  5. Step 5: Solve for x
    x = 4,376,814,968.39/102,374.10
  6. Step 6: Final answer
    x = 42,753.15

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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.