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Finding the Fourth Proportional to 152,284.52, 210,149.30 and 83,373.84

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Solution

The fourth proportional to 152,284.52, 210,149.30 and 83,373.84 is: 115,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,284.52 : 210,149.30 = 83,373.84 : x
  2. Step 2: Convert to fraction form
    152,284.52/210,149.30 = 83,373.84/x
  3. Step 3: Cross multiply
    152,284.52x = 210,149.30 × 83,373.84
  4. Step 4: Simplify right side
    152,284.52x = 17,520,954,322.75
  5. Step 5: Solve for x
    x = 17,520,954,322.75/152,284.52
  6. Step 6: Final answer
    x = 115,054.07

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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.