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Finding the Fourth Proportional to 261,411.68, 360,858.04 and 176,643.56

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Solution

The fourth proportional to 261,411.68, 360,858.04 and 176,643.56 is: 243,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,411.68 : 360,858.04 = 176,643.56 : x
  2. Step 2: Convert to fraction form
    261,411.68/360,858.04 = 176,643.56/x
  3. Step 3: Cross multiply
    261,411.68x = 360,858.04 × 176,643.56
  4. Step 4: Simplify right side
    261,411.68x = 63,743,248,840.22
  5. Step 5: Solve for x
    x = 63,743,248,840.22/261,411.68
  6. Step 6: Final answer
    x = 243,842.39

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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.