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Finding the Fourth Proportional to 175,141.50, 241,695.54 and 99,690

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Solution

The fourth proportional to 175,141.50, 241,695.54 and 99,690 is: 137,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,141.50 : 241,695.54 = 99,690 : x
  2. Step 2: Convert to fraction form
    175,141.50/241,695.54 = 99,690/x
  3. Step 3: Cross multiply
    175,141.50x = 241,695.54 × 99,690
  4. Step 4: Simplify right side
    175,141.50x = 24,094,628,382.60
  5. Step 5: Solve for x
    x = 24,094,628,382.60/175,141.50
  6. Step 6: Final answer
    x = 137,572.35

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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.