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Finding the Fourth Proportional to 110,199.14, 152,076 and 59,898.14

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Solution

The fourth proportional to 110,199.14, 152,076 and 59,898.14 is: 82,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,199.14 : 152,076 = 59,898.14 : x
  2. Step 2: Convert to fraction form
    110,199.14/152,076 = 59,898.14/x
  3. Step 3: Cross multiply
    110,199.14x = 152,076 × 59,898.14
  4. Step 4: Simplify right side
    110,199.14x = 9,109,069,538.64
  5. Step 5: Solve for x
    x = 9,109,069,538.64/110,199.14
  6. Step 6: Final answer
    x = 82,660.08

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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.