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Finding the Fourth Proportional to 141,695.65, 212,051.40 and 97,408.90

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Solution

The fourth proportional to 141,695.65, 212,051.40 and 97,408.90 is: 145,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,695.65 : 212,051.40 = 97,408.90 : x
  2. Step 2: Convert to fraction form
    141,695.65/212,051.40 = 97,408.90/x
  3. Step 3: Cross multiply
    141,695.65x = 212,051.40 × 97,408.90
  4. Step 4: Simplify right side
    141,695.65x = 20,655,693,617.46
  5. Step 5: Solve for x
    x = 20,655,693,617.46/141,695.65
  6. Step 6: Final answer
    x = 145,775.07

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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.