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Finding the Fourth Proportional to 282,354.60, 423,526.42 and 113,871.14

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Solution

The fourth proportional to 282,354.60, 423,526.42 and 113,871.14 is: 170,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,354.60 : 423,526.42 = 113,871.14 : x
  2. Step 2: Convert to fraction form
    282,354.60/423,526.42 = 113,871.14/x
  3. Step 3: Cross multiply
    282,354.60x = 423,526.42 × 113,871.14
  4. Step 4: Simplify right side
    282,354.60x = 48,227,436,265.52
  5. Step 5: Solve for x
    x = 48,227,436,265.52/282,354.60
  6. Step 6: Final answer
    x = 170,804.50

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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.