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Finding the Fourth Proportional to 132,592.32, 182,945.47 and 78,146.66

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Solution

The fourth proportional to 132,592.32, 182,945.47 and 78,146.66 is: 107,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,592.32 : 182,945.47 = 78,146.66 : x
  2. Step 2: Convert to fraction form
    132,592.32/182,945.47 = 78,146.66/x
  3. Step 3: Cross multiply
    132,592.32x = 182,945.47 × 78,146.66
  4. Step 4: Simplify right side
    132,592.32x = 14,296,577,442.63
  5. Step 5: Solve for x
    x = 14,296,577,442.63/132,592.32
  6. Step 6: Final answer
    x = 107,823.57

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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.