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Finding the Fourth Proportional to 158,522.96, 218,784.03 and 98,112.98

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Solution

The fourth proportional to 158,522.96, 218,784.03 and 98,112.98 is: 135,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,522.96 : 218,784.03 = 98,112.98 : x
  2. Step 2: Convert to fraction form
    158,522.96/218,784.03 = 98,112.98/x
  3. Step 3: Cross multiply
    158,522.96x = 218,784.03 × 98,112.98
  4. Step 4: Simplify right side
    158,522.96x = 21,465,553,159.71
  5. Step 5: Solve for x
    x = 21,465,553,159.71/158,522.96
  6. Step 6: Final answer
    x = 135,409.74

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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.