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Finding the Fourth Proportional to 110,421.96, 152,402.16 and 65,097.24

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Solution

The fourth proportional to 110,421.96, 152,402.16 and 65,097.24 is: 89,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,421.96 : 152,402.16 = 65,097.24 : x
  2. Step 2: Convert to fraction form
    110,421.96/152,402.16 = 65,097.24/x
  3. Step 3: Cross multiply
    110,421.96x = 152,402.16 × 65,097.24
  4. Step 4: Simplify right side
    110,421.96x = 9,920,959,986.04
  5. Step 5: Solve for x
    x = 9,920,959,986.04/110,421.96
  6. Step 6: Final answer
    x = 89,845.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.