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Finding the Fourth Proportional to 114,710.16, 158,235.86 and 72,194.88

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Solution

The fourth proportional to 114,710.16, 158,235.86 and 72,194.88 is: 99,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,710.16 : 158,235.86 = 72,194.88 : x
  2. Step 2: Convert to fraction form
    114,710.16/158,235.86 = 72,194.88/x
  3. Step 3: Cross multiply
    114,710.16x = 158,235.86 × 72,194.88
  4. Step 4: Simplify right side
    114,710.16x = 11,423,818,924.40
  5. Step 5: Solve for x
    x = 11,423,818,924.40/114,710.16
  6. Step 6: Final answer
    x = 99,588.55

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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.