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Finding the Fourth Proportional to 282,497.92, 423,101.76 and 134,857.60

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Solution

The fourth proportional to 282,497.92, 423,101.76 and 134,857.60 is: 201,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,497.92 : 423,101.76 = 134,857.60 : x
  2. Step 2: Convert to fraction form
    282,497.92/423,101.76 = 134,857.60/x
  3. Step 3: Cross multiply
    282,497.92x = 423,101.76 × 134,857.60
  4. Step 4: Simplify right side
    282,497.92x = 57,058,487,909.38
  5. Step 5: Solve for x
    x = 57,058,487,909.38/282,497.92
  6. Step 6: Final answer
    x = 201,978.44

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1.5x scale

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.