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Finding the Fourth Proportional to 229,970.83, 317,356.57 and 127,996.33

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Solution

The fourth proportional to 229,970.83, 317,356.57 and 127,996.33 is: 176,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,970.83 : 317,356.57 = 127,996.33 : x
  2. Step 2: Convert to fraction form
    229,970.83/317,356.57 = 127,996.33/x
  3. Step 3: Cross multiply
    229,970.83x = 317,356.57 × 127,996.33
  4. Step 4: Simplify right side
    229,970.83x = 40,620,476,223.04
  5. Step 5: Solve for x
    x = 40,620,476,223.04/229,970.83
  6. Step 6: Final answer
    x = 176,633.17

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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.