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Finding the Fourth Proportional to 312,117.83, 468,180.71 and 109,705.76

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Solution

The fourth proportional to 312,117.83, 468,180.71 and 109,705.76 is: 164,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,117.83 : 468,180.71 = 109,705.76 : x
  2. Step 2: Convert to fraction form
    312,117.83/468,180.71 = 109,705.76/x
  3. Step 3: Cross multiply
    312,117.83x = 468,180.71 × 109,705.76
  4. Step 4: Simplify right side
    312,117.83x = 51,362,117,718.46
  5. Step 5: Solve for x
    x = 51,362,117,718.46/312,117.83
  6. Step 6: Final answer
    x = 164,560.03

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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.