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Finding the Fourth Proportional to 265,297.80, 366,098.94 and 144,436.08

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Solution

The fourth proportional to 265,297.80, 366,098.94 and 144,436.08 is: 199,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,297.80 : 366,098.94 = 144,436.08 : x
  2. Step 2: Convert to fraction form
    265,297.80/366,098.94 = 144,436.08/x
  3. Step 3: Cross multiply
    265,297.80x = 366,098.94 × 144,436.08
  4. Step 4: Simplify right side
    265,297.80x = 52,877,895,785.76
  5. Step 5: Solve for x
    x = 52,877,895,785.76/265,297.80
  6. Step 6: Final answer
    x = 199,315.24

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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.