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Finding the Fourth Proportional to 341,681.76, 512,166 and 116,976

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Solution

The fourth proportional to 341,681.76, 512,166 and 116,976 is: 175,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,681.76 : 512,166 = 116,976 : x
  2. Step 2: Convert to fraction form
    341,681.76/512,166 = 116,976/x
  3. Step 3: Cross multiply
    341,681.76x = 512,166 × 116,976
  4. Step 4: Simplify right side
    341,681.76x = 59,911,130,016
  5. Step 5: Solve for x
    x = 59,911,130,016/341,681.76
  6. Step 6: Final answer
    x = 175,341.90

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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.