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Finding the Fourth Proportional to 152,053.32, 209,830.14 and 84,067.32

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Solution

The fourth proportional to 152,053.32, 209,830.14 and 84,067.32 is: 116,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,053.32 : 209,830.14 = 84,067.32 : x
  2. Step 2: Convert to fraction form
    152,053.32/209,830.14 = 84,067.32/x
  3. Step 3: Cross multiply
    152,053.32x = 209,830.14 × 84,067.32
  4. Step 4: Simplify right side
    152,053.32x = 17,639,857,525.02
  5. Step 5: Solve for x
    x = 17,639,857,525.02/152,053.32
  6. Step 6: Final answer
    x = 116,011.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.