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Finding the Fourth Proportional to 98,602.86, 136,071.96 and 56,165.34

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Solution

The fourth proportional to 98,602.86, 136,071.96 and 56,165.34 is: 77,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,602.86 : 136,071.96 = 56,165.34 : x
  2. Step 2: Convert to fraction form
    98,602.86/136,071.96 = 56,165.34/x
  3. Step 3: Cross multiply
    98,602.86x = 136,071.96 × 56,165.34
  4. Step 4: Simplify right side
    98,602.86x = 7,642,527,897.87
  5. Step 5: Solve for x
    x = 7,642,527,897.87/98,602.86
  6. Step 6: Final answer
    x = 77,508.18

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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.