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Finding the Fourth Proportional to 107,597.10, 148,512.51 and 75,780.30

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Solution

The fourth proportional to 107,597.10, 148,512.51 and 75,780.30 is: 104,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,597.10 : 148,512.51 = 75,780.30 : x
  2. Step 2: Convert to fraction form
    107,597.10/148,512.51 = 75,780.30/x
  3. Step 3: Cross multiply
    107,597.10x = 148,512.51 × 75,780.30
  4. Step 4: Simplify right side
    107,597.10x = 11,254,322,561.55
  5. Step 5: Solve for x
    x = 11,254,322,561.55/107,597.10
  6. Step 6: Final answer
    x = 104,596.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.