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Finding the Fourth Proportional to 147,152.19, 220,761.19 and 53,657.94

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Solution

The fourth proportional to 147,152.19, 220,761.19 and 53,657.94 is: 80,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,152.19 : 220,761.19 = 53,657.94 : x
  2. Step 2: Convert to fraction form
    147,152.19/220,761.19 = 53,657.94/x
  3. Step 3: Cross multiply
    147,152.19x = 220,761.19 × 53,657.94
  4. Step 4: Simplify right side
    147,152.19x = 11,845,590,687.35
  5. Step 5: Solve for x
    x = 11,845,590,687.35/147,152.19
  6. Step 6: Final answer
    x = 80,498.91

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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.