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Finding the Fourth Proportional to 97,711.30, 146,566.95 and 91,806.40

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Solution

The fourth proportional to 97,711.30, 146,566.95 and 91,806.40 is: 137,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,711.30 : 146,566.95 = 91,806.40 : x
  2. Step 2: Convert to fraction form
    97,711.30/146,566.95 = 91,806.40/x
  3. Step 3: Cross multiply
    97,711.30x = 146,566.95 × 91,806.40
  4. Step 4: Simplify right side
    97,711.30x = 13,455,784,038.48
  5. Step 5: Solve for x
    x = 13,455,784,038.48/97,711.30
  6. Step 6: Final answer
    x = 137,709.60

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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.