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Finding the Fourth Proportional to 179,902.88, 269,639.28 and 83,710.16

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Solution

The fourth proportional to 179,902.88, 269,639.28 and 83,710.16 is: 125,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,902.88 : 269,639.28 = 83,710.16 : x
  2. Step 2: Convert to fraction form
    179,902.88/269,639.28 = 83,710.16/x
  3. Step 3: Cross multiply
    179,902.88x = 269,639.28 × 83,710.16
  4. Step 4: Simplify right side
    179,902.88x = 22,571,547,271.08
  5. Step 5: Solve for x
    x = 22,571,547,271.08/179,902.88
  6. Step 6: Final answer
    x = 125,465.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.