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Finding the Fourth Proportional to 127,805.16, 176,384.25 and 76,834.50

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Solution

The fourth proportional to 127,805.16, 176,384.25 and 76,834.50 is: 106,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,805.16 : 176,384.25 = 76,834.50 : x
  2. Step 2: Convert to fraction form
    127,805.16/176,384.25 = 76,834.50/x
  3. Step 3: Cross multiply
    127,805.16x = 176,384.25 × 76,834.50
  4. Step 4: Simplify right side
    127,805.16x = 13,552,395,656.63
  5. Step 5: Solve for x
    x = 13,552,395,656.63/127,805.16
  6. Step 6: Final answer
    x = 106,039.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.