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Finding the Fourth Proportional to 229,870.24, 317,214.87 and 127,895.87

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Solution

The fourth proportional to 229,870.24, 317,214.87 and 127,895.87 is: 176,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,870.24 : 317,214.87 = 127,895.87 : x
  2. Step 2: Convert to fraction form
    229,870.24/317,214.87 = 127,895.87/x
  3. Step 3: Cross multiply
    229,870.24x = 317,214.87 × 127,895.87
  4. Step 4: Simplify right side
    229,870.24x = 40,570,471,775.59
  5. Step 5: Solve for x
    x = 40,570,471,775.59/229,870.24
  6. Step 6: Final answer
    x = 176,492.93

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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.