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Finding the Fourth Proportional to 145,908.16, 218,862.48 and 83,535.52

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Solution

The fourth proportional to 145,908.16, 218,862.48 and 83,535.52 is: 125,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,908.16 : 218,862.48 = 83,535.52 : x
  2. Step 2: Convert to fraction form
    145,908.16/218,862.48 = 83,535.52/x
  3. Step 3: Cross multiply
    145,908.16x = 218,862.48 × 83,535.52
  4. Step 4: Simplify right side
    145,908.16x = 18,282,791,075.29
  5. Step 5: Solve for x
    x = 18,282,791,075.29/145,908.16
  6. Step 6: Final answer
    x = 125,303.42

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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.