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Finding the Fourth Proportional to 265,714.65, 366,677.64 and 144,854.01

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Solution

The fourth proportional to 265,714.65, 366,677.64 and 144,854.01 is: 199,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,714.65 : 366,677.64 = 144,854.01 : x
  2. Step 2: Convert to fraction form
    265,714.65/366,677.64 = 144,854.01/x
  3. Step 3: Cross multiply
    265,714.65x = 366,677.64 × 144,854.01
  4. Step 4: Simplify right side
    265,714.65x = 53,114,726,531.34
  5. Step 5: Solve for x
    x = 53,114,726,531.34/265,714.65
  6. Step 6: Final answer
    x = 199,893.86

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Why These Related Problems?

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