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Finding the Fourth Proportional to 340,202.31, 510,284.70 and 103,526.52

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Solution

The fourth proportional to 340,202.31, 510,284.70 and 103,526.52 is: 155,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,202.31 : 510,284.70 = 103,526.52 : x
  2. Step 2: Convert to fraction form
    340,202.31/510,284.70 = 103,526.52/x
  3. Step 3: Cross multiply
    340,202.31x = 510,284.70 × 103,526.52
  4. Step 4: Simplify right side
    340,202.31x = 52,827,999,200.24
  5. Step 5: Solve for x
    x = 52,827,999,200.24/340,202.31
  6. Step 6: Final answer
    x = 155,284.07

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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.