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Finding the Fourth Proportional to 150,826.60, 208,117.50 and 87,152.08

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Solution

The fourth proportional to 150,826.60, 208,117.50 and 87,152.08 is: 120,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,826.60 : 208,117.50 = 87,152.08 : x
  2. Step 2: Convert to fraction form
    150,826.60/208,117.50 = 87,152.08/x
  3. Step 3: Cross multiply
    150,826.60x = 208,117.50 × 87,152.08
  4. Step 4: Simplify right side
    150,826.60x = 18,137,873,009.40
  5. Step 5: Solve for x
    x = 18,137,873,009.40/150,826.60
  6. Step 6: Final answer
    x = 120,256.46

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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.