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Finding the Fourth Proportional to 130,462.98, 195,688.32 and 46,221.78

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Solution

The fourth proportional to 130,462.98, 195,688.32 and 46,221.78 is: 69,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,462.98 : 195,688.32 = 46,221.78 : x
  2. Step 2: Convert to fraction form
    130,462.98/195,688.32 = 46,221.78/x
  3. Step 3: Cross multiply
    130,462.98x = 195,688.32 × 46,221.78
  4. Step 4: Simplify right side
    130,462.98x = 9,045,062,475.61
  5. Step 5: Solve for x
    x = 9,045,062,475.61/130,462.98
  6. Step 6: Final answer
    x = 69,330.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.