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Finding the Fourth Proportional to 209,382.84, 288,922.08 and 141,547.42

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Solution

The fourth proportional to 209,382.84, 288,922.08 and 141,547.42 is: 195,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,382.84 : 288,922.08 = 141,547.42 : x
  2. Step 2: Convert to fraction form
    209,382.84/288,922.08 = 141,547.42/x
  3. Step 3: Cross multiply
    209,382.84x = 288,922.08 × 141,547.42
  4. Step 4: Simplify right side
    209,382.84x = 40,896,175,005.03
  5. Step 5: Solve for x
    x = 40,896,175,005.03/209,382.84
  6. Step 6: Final answer
    x = 195,317.70

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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.