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Finding the Fourth Proportional to 278,564.01, 418,012.04 and 101,084.86

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Solution

The fourth proportional to 278,564.01, 418,012.04 and 101,084.86 is: 151,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,564.01 : 418,012.04 = 101,084.86 : x
  2. Step 2: Convert to fraction form
    278,564.01/418,012.04 = 101,084.86/x
  3. Step 3: Cross multiply
    278,564.01x = 418,012.04 × 101,084.86
  4. Step 4: Simplify right side
    278,564.01x = 42,254,688,541.71
  5. Step 5: Solve for x
    x = 42,254,688,541.71/278,564.01
  6. Step 6: Final answer
    x = 151,687.54

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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.