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Finding the Fourth Proportional to 214,869.80, 296,212.38 and 151,009.40

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Solution

The fourth proportional to 214,869.80, 296,212.38 and 151,009.40 is: 208,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,869.80 : 296,212.38 = 151,009.40 : x
  2. Step 2: Convert to fraction form
    214,869.80/296,212.38 = 151,009.40/x
  3. Step 3: Cross multiply
    214,869.80x = 296,212.38 × 151,009.40
  4. Step 4: Simplify right side
    214,869.80x = 44,730,852,295.31
  5. Step 5: Solve for x
    x = 44,730,852,295.31/214,869.80
  6. Step 6: Final answer
    x = 208,176.55

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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.