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Finding the Fourth Proportional to 131,877.18, 181,959 and 78,152.94

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Solution

The fourth proportional to 131,877.18, 181,959 and 78,152.94 is: 107,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,877.18 : 181,959 = 78,152.94 : x
  2. Step 2: Convert to fraction form
    131,877.18/181,959 = 78,152.94/x
  3. Step 3: Cross multiply
    131,877.18x = 181,959 × 78,152.94
  4. Step 4: Simplify right side
    131,877.18x = 14,220,630,809.46
  5. Step 5: Solve for x
    x = 14,220,630,809.46/131,877.18
  6. Step 6: Final answer
    x = 107,832.38

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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.