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Finding the Fourth Proportional to 282,004.70, 423,064.65 and 95,035.10

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Solution

The fourth proportional to 282,004.70, 423,064.65 and 95,035.10 is: 142,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,004.70 : 423,064.65 = 95,035.10 : x
  2. Step 2: Convert to fraction form
    282,004.70/423,064.65 = 95,035.10/x
  3. Step 3: Cross multiply
    282,004.70x = 423,064.65 × 95,035.10
  4. Step 4: Simplify right side
    282,004.70x = 40,205,991,319.22
  5. Step 5: Solve for x
    x = 40,205,991,319.22/282,004.70
  6. Step 6: Final answer
    x = 142,572.06

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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.