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Finding the Fourth Proportional to 282,068.92, 423,019.14 and 148,875.76

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Solution

The fourth proportional to 282,068.92, 423,019.14 and 148,875.76 is: 223,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,068.92 : 423,019.14 = 148,875.76 : x
  2. Step 2: Convert to fraction form
    282,068.92/423,019.14 = 148,875.76/x
  3. Step 3: Cross multiply
    282,068.92x = 423,019.14 × 148,875.76
  4. Step 4: Simplify right side
    282,068.92x = 62,977,295,962.05
  5. Step 5: Solve for x
    x = 62,977,295,962.05/282,068.92
  6. Step 6: Final answer
    x = 223,269.18

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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.