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Finding the Fourth Proportional to 98,527.60, 135,825.78 and 70,184.08

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Solution

The fourth proportional to 98,527.60, 135,825.78 and 70,184.08 is: 96,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,527.60 : 135,825.78 = 70,184.08 : x
  2. Step 2: Convert to fraction form
    98,527.60/135,825.78 = 70,184.08/x
  3. Step 3: Cross multiply
    98,527.60x = 135,825.78 × 70,184.08
  4. Step 4: Simplify right side
    98,527.60x = 9,532,807,409.58
  5. Step 5: Solve for x
    x = 9,532,807,409.58/98,527.60
  6. Step 6: Final answer
    x = 96,752.66

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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.