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Finding the Fourth Proportional to 120,803.76, 166,684.32 and 69,798.24

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Solution

The fourth proportional to 120,803.76, 166,684.32 and 69,798.24 is: 96,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,803.76 : 166,684.32 = 69,798.24 : x
  2. Step 2: Convert to fraction form
    120,803.76/166,684.32 = 69,798.24/x
  3. Step 3: Cross multiply
    120,803.76x = 166,684.32 × 69,798.24
  4. Step 4: Simplify right side
    120,803.76x = 11,634,272,171.60
  5. Step 5: Solve for x
    x = 11,634,272,171.60/120,803.76
  6. Step 6: Final answer
    x = 96,307.20

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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.