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Finding the Fourth Proportional to 334,189.80, 501,357.60 and 97,513.20

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Solution

The fourth proportional to 334,189.80, 501,357.60 and 97,513.20 is: 146,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,189.80 : 501,357.60 = 97,513.20 : x
  2. Step 2: Convert to fraction form
    334,189.80/501,357.60 = 97,513.20/x
  3. Step 3: Cross multiply
    334,189.80x = 501,357.60 × 97,513.20
  4. Step 4: Simplify right side
    334,189.80x = 48,888,983,920.32
  5. Step 5: Solve for x
    x = 48,888,983,920.32/334,189.80
  6. Step 6: Final answer
    x = 146,291.07

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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.