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Finding the Fourth Proportional to 97,257.96, 145,741.14 and 75,038.04

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Solution

The fourth proportional to 97,257.96, 145,741.14 and 75,038.04 is: 112,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,257.96 : 145,741.14 = 75,038.04 : x
  2. Step 2: Convert to fraction form
    97,257.96/145,741.14 = 75,038.04/x
  3. Step 3: Cross multiply
    97,257.96x = 145,741.14 × 75,038.04
  4. Step 4: Simplify right side
    97,257.96x = 10,936,129,492.97
  5. Step 5: Solve for x
    x = 10,936,129,492.97/97,257.96
  6. Step 6: Final answer
    x = 112,444.57

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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.