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Finding the Fourth Proportional to 121,047.20, 181,570.80 and 36,807.20

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Solution

The fourth proportional to 121,047.20, 181,570.80 and 36,807.20 is: 55,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,047.20 : 181,570.80 = 36,807.20 : x
  2. Step 2: Convert to fraction form
    121,047.20/181,570.80 = 36,807.20/x
  3. Step 3: Cross multiply
    121,047.20x = 181,570.80 × 36,807.20
  4. Step 4: Simplify right side
    121,047.20x = 6,683,112,749.76
  5. Step 5: Solve for x
    x = 6,683,112,749.76/121,047.20
  6. Step 6: Final answer
    x = 55,210.80

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Why These Related Problems?

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