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Finding the Fourth Proportional to 242,931.27, 363,649.50 and 158,509.65

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Solution

The fourth proportional to 242,931.27, 363,649.50 and 158,509.65 is: 237,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,931.27 : 363,649.50 = 158,509.65 : x
  2. Step 2: Convert to fraction form
    242,931.27/363,649.50 = 158,509.65/x
  3. Step 3: Cross multiply
    242,931.27x = 363,649.50 × 158,509.65
  4. Step 4: Simplify right side
    242,931.27x = 57,641,954,967.68
  5. Step 5: Solve for x
    x = 57,641,954,967.68/242,931.27
  6. Step 6: Final answer
    x = 237,276.80

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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.