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Finding the Fourth Proportional to 102,411.14, 153,642.63 and 43,216.34

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Solution

The fourth proportional to 102,411.14, 153,642.63 and 43,216.34 is: 64,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,411.14 : 153,642.63 = 43,216.34 : x
  2. Step 2: Convert to fraction form
    102,411.14/153,642.63 = 43,216.34/x
  3. Step 3: Cross multiply
    102,411.14x = 153,642.63 × 43,216.34
  4. Step 4: Simplify right side
    102,411.14x = 6,639,872,136.57
  5. Step 5: Solve for x
    x = 6,639,872,136.57/102,411.14
  6. Step 6: Final answer
    x = 64,835.45

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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.