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Finding the Fourth Proportional to 310,012.50, 465,023.07 and 88,396.50

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Solution

The fourth proportional to 310,012.50, 465,023.07 and 88,396.50 is: 132,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,012.50 : 465,023.07 = 88,396.50 : x
  2. Step 2: Convert to fraction form
    310,012.50/465,023.07 = 88,396.50/x
  3. Step 3: Cross multiply
    310,012.50x = 465,023.07 × 88,396.50
  4. Step 4: Simplify right side
    310,012.50x = 41,106,411,807.26
  5. Step 5: Solve for x
    x = 41,106,411,807.26/310,012.50
  6. Step 6: Final answer
    x = 132,595.98

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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.