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Finding the Fourth Proportional to 117,693.60, 176,386.80 and 84,823.20

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Solution

The fourth proportional to 117,693.60, 176,386.80 and 84,823.20 is: 127,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,693.60 : 176,386.80 = 84,823.20 : x
  2. Step 2: Convert to fraction form
    117,693.60/176,386.80 = 84,823.20/x
  3. Step 3: Cross multiply
    117,693.60x = 176,386.80 × 84,823.20
  4. Step 4: Simplify right side
    117,693.60x = 14,961,692,813.76
  5. Step 5: Solve for x
    x = 14,961,692,813.76/117,693.60
  6. Step 6: Final answer
    x = 127,124.10

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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.