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Finding the Fourth Proportional to 142,411.56, 213,660.16 and 42,575

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Solution

The fourth proportional to 142,411.56, 213,660.16 and 42,575 is: 63,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,411.56 : 213,660.16 = 42,575 : x
  2. Step 2: Convert to fraction form
    142,411.56/213,660.16 = 42,575/x
  3. Step 3: Cross multiply
    142,411.56x = 213,660.16 × 42,575
  4. Step 4: Simplify right side
    142,411.56x = 9,096,581,312
  5. Step 5: Solve for x
    x = 9,096,581,312/142,411.56
  6. Step 6: Final answer
    x = 63,875.30

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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.