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Finding the Fourth Proportional to 199,706.58, 299,708.65 and 146,535.95

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Solution

The fourth proportional to 199,706.58, 299,708.65 and 146,535.95 is: 219,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,706.58 : 299,708.65 = 146,535.95 : x
  2. Step 2: Convert to fraction form
    199,706.58/299,708.65 = 146,535.95/x
  3. Step 3: Cross multiply
    199,706.58x = 299,708.65 × 146,535.95
  4. Step 4: Simplify right side
    199,706.58x = 43,918,092,683.41
  5. Step 5: Solve for x
    x = 43,918,092,683.41/199,706.58
  6. Step 6: Final answer
    x = 219,913.10

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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.