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Finding the Fourth Proportional to 292,243.32, 438,284.54 and 100,114.92

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Solution

The fourth proportional to 292,243.32, 438,284.54 and 100,114.92 is: 150,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,243.32 : 438,284.54 = 100,114.92 : x
  2. Step 2: Convert to fraction form
    292,243.32/438,284.54 = 100,114.92/x
  3. Step 3: Cross multiply
    292,243.32x = 438,284.54 × 100,114.92
  4. Step 4: Simplify right side
    292,243.32x = 43,878,821,909.62
  5. Step 5: Solve for x
    x = 43,878,821,909.62/292,243.32
  6. Step 6: Final answer
    x = 150,144.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.