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Finding the Fourth Proportional to 221,728.68, 305,985.06 and 121,127.40

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Solution

The fourth proportional to 221,728.68, 305,985.06 and 121,127.40 is: 167,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,728.68 : 305,985.06 = 121,127.40 : x
  2. Step 2: Convert to fraction form
    221,728.68/305,985.06 = 121,127.40/x
  3. Step 3: Cross multiply
    221,728.68x = 305,985.06 × 121,127.40
  4. Step 4: Simplify right side
    221,728.68x = 37,063,174,756.64
  5. Step 5: Solve for x
    x = 37,063,174,756.64/221,728.68
  6. Step 6: Final answer
    x = 167,155.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.