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Finding the Fourth Proportional to 114,633.52, 172,130.04 and 97,094.08

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Solution

The fourth proportional to 114,633.52, 172,130.04 and 97,094.08 is: 145,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,633.52 : 172,130.04 = 97,094.08 : x
  2. Step 2: Convert to fraction form
    114,633.52/172,130.04 = 97,094.08/x
  3. Step 3: Cross multiply
    114,633.52x = 172,130.04 × 97,094.08
  4. Step 4: Simplify right side
    114,633.52x = 16,712,807,874.16
  5. Step 5: Solve for x
    x = 16,712,807,874.16/114,633.52
  6. Step 6: Final answer
    x = 145,793.38

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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.