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Finding the Fourth Proportional to 114,116, 171,132.02 and 39,214.88

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Solution

The fourth proportional to 114,116, 171,132.02 and 39,214.88 is: 58,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,116 : 171,132.02 = 39,214.88 : x
  2. Step 2: Convert to fraction form
    114,116/171,132.02 = 39,214.88/x
  3. Step 3: Cross multiply
    114,116x = 171,132.02 × 39,214.88
  4. Step 4: Simplify right side
    114,116x = 6,710,921,628.46
  5. Step 5: Solve for x
    x = 6,710,921,628.46/114,116
  6. Step 6: Final answer
    x = 58,807.89

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1.5x scale

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.