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Finding the Fourth Proportional to 117,071.80, 175,089.30 and 98,409.40

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Solution

The fourth proportional to 117,071.80, 175,089.30 and 98,409.40 is: 147,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,071.80 : 175,089.30 = 98,409.40 : x
  2. Step 2: Convert to fraction form
    117,071.80/175,089.30 = 98,409.40/x
  3. Step 3: Cross multiply
    117,071.80x = 175,089.30 × 98,409.40
  4. Step 4: Simplify right side
    117,071.80x = 17,230,432,959.42
  5. Step 5: Solve for x
    x = 17,230,432,959.42/117,071.80
  6. Step 6: Final answer
    x = 147,178.34

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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.