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Finding the Fourth Proportional to 113,807.61, 170,615.01 and 47,206.17

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Solution

The fourth proportional to 113,807.61, 170,615.01 and 47,206.17 is: 70,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,807.61 : 170,615.01 = 47,206.17 : x
  2. Step 2: Convert to fraction form
    113,807.61/170,615.01 = 47,206.17/x
  3. Step 3: Cross multiply
    113,807.61x = 170,615.01 × 47,206.17
  4. Step 4: Simplify right side
    113,807.61x = 8,054,081,166.61
  5. Step 5: Solve for x
    x = 8,054,081,166.61/113,807.61
  6. Step 6: Final answer
    x = 70,769.27

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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.