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Finding the Fourth Proportional to 205,038.32, 282,952.92 and 115,614.32

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Solution

The fourth proportional to 205,038.32, 282,952.92 and 115,614.32 is: 159,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038.32 : 282,952.92 = 115,614.32 : x
  2. Step 2: Convert to fraction form
    205,038.32/282,952.92 = 115,614.32/x
  3. Step 3: Cross multiply
    205,038.32x = 282,952.92 × 115,614.32
  4. Step 4: Simplify right side
    205,038.32x = 32,713,409,437.81
  5. Step 5: Solve for x
    x = 32,713,409,437.81/205,038.32
  6. Step 6: Final answer
    x = 159,547.78

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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.