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Finding the Fourth Proportional to 155,765.08, 233,492.34 and 65,830.48

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Solution

The fourth proportional to 155,765.08, 233,492.34 and 65,830.48 is: 98,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,765.08 : 233,492.34 = 65,830.48 : x
  2. Step 2: Convert to fraction form
    155,765.08/233,492.34 = 65,830.48/x
  3. Step 3: Cross multiply
    155,765.08x = 233,492.34 × 65,830.48
  4. Step 4: Simplify right side
    155,765.08x = 15,370,912,818.52
  5. Step 5: Solve for x
    x = 15,370,912,818.52/155,765.08
  6. Step 6: Final answer
    x = 98,680.09

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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.