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Finding the Fourth Proportional to 175,693.40, 262,925.70 and 160,947.80

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Solution

The fourth proportional to 175,693.40, 262,925.70 and 160,947.80 is: 240,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,693.40 : 262,925.70 = 160,947.80 : x
  2. Step 2: Convert to fraction form
    175,693.40/262,925.70 = 160,947.80/x
  3. Step 3: Cross multiply
    175,693.40x = 262,925.70 × 160,947.80
  4. Step 4: Simplify right side
    175,693.40x = 42,317,312,978.46
  5. Step 5: Solve for x
    x = 42,317,312,978.46/175,693.40
  6. Step 6: Final answer
    x = 240,858.87

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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.