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Finding the Fourth Proportional to 114,737.40, 172,106.10 and 77,412.60

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Solution

The fourth proportional to 114,737.40, 172,106.10 and 77,412.60 is: 116,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,737.40 : 172,106.10 = 77,412.60 : x
  2. Step 2: Convert to fraction form
    114,737.40/172,106.10 = 77,412.60/x
  3. Step 3: Cross multiply
    114,737.40x = 172,106.10 × 77,412.60
  4. Step 4: Simplify right side
    114,737.40x = 13,323,180,676.86
  5. Step 5: Solve for x
    x = 13,323,180,676.86/114,737.40
  6. Step 6: Final answer
    x = 116,118.90

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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.