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Finding the Fourth Proportional to 230,648.16, 345,986.88 and 97,503.60

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Solution

The fourth proportional to 230,648.16, 345,986.88 and 97,503.60 is: 146,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,648.16 : 345,986.88 = 97,503.60 : x
  2. Step 2: Convert to fraction form
    230,648.16/345,986.88 = 97,503.60/x
  3. Step 3: Cross multiply
    230,648.16x = 345,986.88 × 97,503.60
  4. Step 4: Simplify right side
    230,648.16x = 33,734,966,352.77
  5. Step 5: Solve for x
    x = 33,734,966,352.77/230,648.16
  6. Step 6: Final answer
    x = 146,261.59

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1.5x scale

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.