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Finding the Fourth Proportional to 202,117.51, 303,046.66 and 83,870.47

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Solution

The fourth proportional to 202,117.51, 303,046.66 and 83,870.47 is: 125,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,117.51 : 303,046.66 = 83,870.47 : x
  2. Step 2: Convert to fraction form
    202,117.51/303,046.66 = 83,870.47/x
  3. Step 3: Cross multiply
    202,117.51x = 303,046.66 × 83,870.47
  4. Step 4: Simplify right side
    202,117.51x = 25,416,664,838.84
  5. Step 5: Solve for x
    x = 25,416,664,838.84/202,117.51
  6. Step 6: Final answer
    x = 125,751.92

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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.