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Finding the Fourth Proportional to 136,802.24, 205,114.54 and 56,818.26

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Solution

The fourth proportional to 136,802.24, 205,114.54 and 56,818.26 is: 85,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,802.24 : 205,114.54 = 56,818.26 : x
  2. Step 2: Convert to fraction form
    136,802.24/205,114.54 = 56,818.26/x
  3. Step 3: Cross multiply
    136,802.24x = 205,114.54 × 56,818.26
  4. Step 4: Simplify right side
    136,802.24x = 11,654,251,263.50
  5. Step 5: Solve for x
    x = 11,654,251,263.50/136,802.24
  6. Step 6: Final answer
    x = 85,190.50

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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.