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Finding the Fourth Proportional to 121,290.40, 181,870.80 and 42,407.20

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Solution

The fourth proportional to 121,290.40, 181,870.80 and 42,407.20 is: 63,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,290.40 : 181,870.80 = 42,407.20 : x
  2. Step 2: Convert to fraction form
    121,290.40/181,870.80 = 42,407.20/x
  3. Step 3: Cross multiply
    121,290.40x = 181,870.80 × 42,407.20
  4. Step 4: Simplify right side
    121,290.40x = 7,712,631,389.76
  5. Step 5: Solve for x
    x = 7,712,631,389.76/121,290.40
  6. Step 6: Final answer
    x = 63,588.14

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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.