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Finding the Fourth Proportional to 114,109.38, 157,458.80 and 63,114

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Solution

The fourth proportional to 114,109.38, 157,458.80 and 63,114 is: 87,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,109.38 : 157,458.80 = 63,114 : x
  2. Step 2: Convert to fraction form
    114,109.38/157,458.80 = 63,114/x
  3. Step 3: Cross multiply
    114,109.38x = 157,458.80 × 63,114
  4. Step 4: Simplify right side
    114,109.38x = 9,937,854,703.20
  5. Step 5: Solve for x
    x = 9,937,854,703.20/114,109.38
  6. Step 6: Final answer
    x = 87,090.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.