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Finding the Fourth Proportional to 115,095.60, 158,856.44 and 77,347.98

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Solution

The fourth proportional to 115,095.60, 158,856.44 and 77,347.98 is: 106,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,095.60 : 158,856.44 = 77,347.98 : x
  2. Step 2: Convert to fraction form
    115,095.60/158,856.44 = 77,347.98/x
  3. Step 3: Cross multiply
    115,095.60x = 158,856.44 × 77,347.98
  4. Step 4: Simplify right side
    115,095.60x = 12,287,224,357.25
  5. Step 5: Solve for x
    x = 12,287,224,357.25/115,095.60
  6. Step 6: Final answer
    x = 106,756.68

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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.