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Finding the Fourth Proportional to 221,441.93, 305,484.62 and 130,737.13

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Solution

The fourth proportional to 221,441.93, 305,484.62 and 130,737.13 is: 180,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,441.93 : 305,484.62 = 130,737.13 : x
  2. Step 2: Convert to fraction form
    221,441.93/305,484.62 = 130,737.13/x
  3. Step 3: Cross multiply
    221,441.93x = 305,484.62 × 130,737.13
  4. Step 4: Simplify right side
    221,441.93x = 39,938,180,296.83
  5. Step 5: Solve for x
    x = 39,938,180,296.83/221,441.93
  6. Step 6: Final answer
    x = 180,355.10

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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.