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Finding the Fourth Proportional to 261,171.40, 360,411.38 and 152,296.04

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Solution

The fourth proportional to 261,171.40, 360,411.38 and 152,296.04 is: 210,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,171.40 : 360,411.38 = 152,296.04 : x
  2. Step 2: Convert to fraction form
    261,171.40/360,411.38 = 152,296.04/x
  3. Step 3: Cross multiply
    261,171.40x = 360,411.38 × 152,296.04
  4. Step 4: Simplify right side
    261,171.40x = 54,889,225,944.94
  5. Step 5: Solve for x
    x = 54,889,225,944.94/261,171.40
  6. Step 6: Final answer
    x = 210,165.53

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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.