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Finding the Fourth Proportional to 147,346.94, 221,021.94 and 117,951.63

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Solution

The fourth proportional to 147,346.94, 221,021.94 and 117,951.63 is: 176,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,346.94 : 221,021.94 = 117,951.63 : x
  2. Step 2: Convert to fraction form
    147,346.94/221,021.94 = 117,951.63/x
  3. Step 3: Cross multiply
    147,346.94x = 221,021.94 × 117,951.63
  4. Step 4: Simplify right side
    147,346.94x = 26,069,898,088.76
  5. Step 5: Solve for x
    x = 26,069,898,088.76/147,346.94
  6. Step 6: Final answer
    x = 176,928.68

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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.