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Finding the Fourth Proportional to 144,598.32, 216,876.96 and 55,893.60

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Solution

The fourth proportional to 144,598.32, 216,876.96 and 55,893.60 is: 83,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,598.32 : 216,876.96 = 55,893.60 : x
  2. Step 2: Convert to fraction form
    144,598.32/216,876.96 = 55,893.60/x
  3. Step 3: Cross multiply
    144,598.32x = 216,876.96 × 55,893.60
  4. Step 4: Simplify right side
    144,598.32x = 12,122,034,051.46
  5. Step 5: Solve for x
    x = 12,122,034,051.46/144,598.32
  6. Step 6: Final answer
    x = 83,832.47

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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.