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Finding the Fourth Proportional to 174,011.60, 261,017.40 and 85,438.10

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Solution

The fourth proportional to 174,011.60, 261,017.40 and 85,438.10 is: 128,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,011.60 : 261,017.40 = 85,438.10 : x
  2. Step 2: Convert to fraction form
    174,011.60/261,017.40 = 85,438.10/x
  3. Step 3: Cross multiply
    174,011.60x = 261,017.40 × 85,438.10
  4. Step 4: Simplify right side
    174,011.60x = 22,300,830,722.94
  5. Step 5: Solve for x
    x = 22,300,830,722.94/174,011.60
  6. Step 6: Final answer
    x = 128,157.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.