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Finding the Fourth Proportional to 105,698.52, 145,862.04 and 57,952.08

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Solution

The fourth proportional to 105,698.52, 145,862.04 and 57,952.08 is: 79,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,698.52 : 145,862.04 = 57,952.08 : x
  2. Step 2: Convert to fraction form
    105,698.52/145,862.04 = 57,952.08/x
  3. Step 3: Cross multiply
    105,698.52x = 145,862.04 × 57,952.08
  4. Step 4: Simplify right side
    105,698.52x = 8,453,008,611.04
  5. Step 5: Solve for x
    x = 8,453,008,611.04/105,698.52
  6. Step 6: Final answer
    x = 79,972.82

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1.5x scale

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.