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Finding the Fourth Proportional to 117,376.70, 176,020.81 and 42,478.34

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Solution

The fourth proportional to 117,376.70, 176,020.81 and 42,478.34 is: 63,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,376.70 : 176,020.81 = 42,478.34 : x
  2. Step 2: Convert to fraction form
    117,376.70/176,020.81 = 42,478.34/x
  3. Step 3: Cross multiply
    117,376.70x = 176,020.81 × 42,478.34
  4. Step 4: Simplify right side
    117,376.70x = 7,477,071,814.26
  5. Step 5: Solve for x
    x = 7,477,071,814.26/117,376.70
  6. Step 6: Final answer
    x = 63,701.50

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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.