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Finding the Fourth Proportional to 177,838.92, 245,506.86 and 137,461.32

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Solution

The fourth proportional to 177,838.92, 245,506.86 and 137,461.32 is: 189,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,838.92 : 245,506.86 = 137,461.32 : x
  2. Step 2: Convert to fraction form
    177,838.92/245,506.86 = 137,461.32/x
  3. Step 3: Cross multiply
    177,838.92x = 245,506.86 × 137,461.32
  4. Step 4: Simplify right side
    177,838.92x = 33,747,697,044.66
  5. Step 5: Solve for x
    x = 33,747,697,044.66/177,838.92
  6. Step 6: Final answer
    x = 189,765.53

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1.5x scale

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.