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Finding the Fourth Proportional to 270,840.18, 406,298.10 and 113,032.50

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Solution

The fourth proportional to 270,840.18, 406,298.10 and 113,032.50 is: 169,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,840.18 : 406,298.10 = 113,032.50 : x
  2. Step 2: Convert to fraction form
    270,840.18/406,298.10 = 113,032.50/x
  3. Step 3: Cross multiply
    270,840.18x = 406,298.10 × 113,032.50
  4. Step 4: Simplify right side
    270,840.18x = 45,924,889,988.25
  5. Step 5: Solve for x
    x = 45,924,889,988.25/270,840.18
  6. Step 6: Final answer
    x = 169,564.54

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