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Finding the Fourth Proportional to 261,409.68, 360,855.27 and 176,641.56

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Solution

The fourth proportional to 261,409.68, 360,855.27 and 176,641.56 is: 243,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,409.68 : 360,855.27 = 176,641.56 : x
  2. Step 2: Convert to fraction form
    261,409.68/360,855.27 = 176,641.56/x
  3. Step 3: Cross multiply
    261,409.68x = 360,855.27 × 176,641.56
  4. Step 4: Simplify right side
    261,409.68x = 63,742,037,827.02
  5. Step 5: Solve for x
    x = 63,742,037,827.02/261,409.68
  6. Step 6: Final answer
    x = 243,839.62

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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.