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Finding the Fourth Proportional to 291,842.26, 402,742.20 and 157,706.26

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Solution

The fourth proportional to 291,842.26, 402,742.20 and 157,706.26 is: 217,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,842.26 : 402,742.20 = 157,706.26 : x
  2. Step 2: Convert to fraction form
    291,842.26/402,742.20 = 157,706.26/x
  3. Step 3: Cross multiply
    291,842.26x = 402,742.20 × 157,706.26
  4. Step 4: Simplify right side
    291,842.26x = 63,514,966,106.17
  5. Step 5: Solve for x
    x = 63,514,966,106.17/291,842.26
  6. Step 6: Final answer
    x = 217,634.57

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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.