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Finding the Fourth Proportional to 334,065.10, 501,097.65 and 156,918.10

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Solution

The fourth proportional to 334,065.10, 501,097.65 and 156,918.10 is: 235,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,065.10 : 501,097.65 = 156,918.10 : x
  2. Step 2: Convert to fraction form
    334,065.10/501,097.65 = 156,918.10/x
  3. Step 3: Cross multiply
    334,065.10x = 501,097.65 × 156,918.10
  4. Step 4: Simplify right side
    334,065.10x = 78,631,291,152.47
  5. Step 5: Solve for x
    x = 78,631,291,152.47/334,065.10
  6. Step 6: Final answer
    x = 235,377.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.