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Finding the Fourth Proportional to 162,471.60, 243,670.95 and 106,703.10

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Solution

The fourth proportional to 162,471.60, 243,670.95 and 106,703.10 is: 160,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,471.60 : 243,670.95 = 106,703.10 : x
  2. Step 2: Convert to fraction form
    162,471.60/243,670.95 = 106,703.10/x
  3. Step 3: Cross multiply
    162,471.60x = 243,670.95 × 106,703.10
  4. Step 4: Simplify right side
    162,471.60x = 26,000,445,744.95
  5. Step 5: Solve for x
    x = 26,000,445,744.95/162,471.60
  6. Step 6: Final answer
    x = 160,030.71

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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.