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Finding the Fourth Proportional to 97,962.56, 147,116.12 and 96,560.16

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Solution

The fourth proportional to 97,962.56, 147,116.12 and 96,560.16 is: 145,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,962.56 : 147,116.12 = 96,560.16 : x
  2. Step 2: Convert to fraction form
    97,962.56/147,116.12 = 96,560.16/x
  3. Step 3: Cross multiply
    97,962.56x = 147,116.12 × 96,560.16
  4. Step 4: Simplify right side
    97,962.56x = 14,205,556,085.78
  5. Step 5: Solve for x
    x = 14,205,556,085.78/97,962.56
  6. Step 6: Final answer
    x = 145,010.05

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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.