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Finding the Fourth Proportional to 221,022.59, 304,931.13 and 144,585.23

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Solution

The fourth proportional to 221,022.59, 304,931.13 and 144,585.23 is: 199,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,022.59 : 304,931.13 = 144,585.23 : x
  2. Step 2: Convert to fraction form
    221,022.59/304,931.13 = 144,585.23/x
  3. Step 3: Cross multiply
    221,022.59x = 304,931.13 × 144,585.23
  4. Step 4: Simplify right side
    221,022.59x = 44,088,537,565.21
  5. Step 5: Solve for x
    x = 44,088,537,565.21/221,022.59
  6. Step 6: Final answer
    x = 199,475.26

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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.