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Finding the Fourth Proportional to 200,373.76, 300,560.64 and 89,488

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Solution

The fourth proportional to 200,373.76, 300,560.64 and 89,488 is: 134,232

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,373.76 : 300,560.64 = 89,488 : x
  2. Step 2: Convert to fraction form
    200,373.76/300,560.64 = 89,488/x
  3. Step 3: Cross multiply
    200,373.76x = 300,560.64 × 89,488
  4. Step 4: Simplify right side
    200,373.76x = 26,896,570,552.32
  5. Step 5: Solve for x
    x = 26,896,570,552.32/200,373.76
  6. Step 6: Final answer
    x = 134,232

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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.