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Finding the Fourth Proportional to 261,214.47, 360,475.65 and 152,323.20

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Solution

The fourth proportional to 261,214.47, 360,475.65 and 152,323.20 is: 210,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,214.47 : 360,475.65 = 152,323.20 : x
  2. Step 2: Convert to fraction form
    261,214.47/360,475.65 = 152,323.20/x
  3. Step 3: Cross multiply
    261,214.47x = 360,475.65 × 152,323.20
  4. Step 4: Simplify right side
    261,214.47x = 54,908,804,530.08
  5. Step 5: Solve for x
    x = 54,908,804,530.08/261,214.47
  6. Step 6: Final answer
    x = 210,205.83

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