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Finding the Fourth Proportional to 114,298.50, 157,695.48 and 74,043.12

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Solution

The fourth proportional to 114,298.50, 157,695.48 and 74,043.12 is: 102,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,298.50 : 157,695.48 = 74,043.12 : x
  2. Step 2: Convert to fraction form
    114,298.50/157,695.48 = 74,043.12/x
  3. Step 3: Cross multiply
    114,298.50x = 157,695.48 × 74,043.12
  4. Step 4: Simplify right side
    114,298.50x = 11,676,265,349.10
  5. Step 5: Solve for x
    x = 11,676,265,349.10/114,298.50
  6. Step 6: Final answer
    x = 102,155.89

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1.5x scale

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.