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Finding the Fourth Proportional to 101,098.42, 139,514.86 and 55,776.77

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Solution

The fourth proportional to 101,098.42, 139,514.86 and 55,776.77 is: 76,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,098.42 : 139,514.86 = 55,776.77 : x
  2. Step 2: Convert to fraction form
    101,098.42/139,514.86 = 55,776.77/x
  3. Step 3: Cross multiply
    101,098.42x = 139,514.86 × 55,776.77
  4. Step 4: Simplify right side
    101,098.42x = 7,781,687,281.34
  5. Step 5: Solve for x
    x = 7,781,687,281.34/101,098.42
  6. Step 6: Final answer
    x = 76,971.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.