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Finding the Fourth Proportional to 242,265.64, 363,431.71 and 82,298.63

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Solution

The fourth proportional to 242,265.64, 363,431.71 and 82,298.63 is: 123,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,265.64 : 363,431.71 = 82,298.63 : x
  2. Step 2: Convert to fraction form
    242,265.64/363,431.71 = 82,298.63/x
  3. Step 3: Cross multiply
    242,265.64x = 363,431.71 × 82,298.63
  4. Step 4: Simplify right side
    242,265.64x = 29,909,931,831.56
  5. Step 5: Solve for x
    x = 29,909,931,831.56/242,265.64
  6. Step 6: Final answer
    x = 123,459.24

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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.