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Finding the Fourth Proportional to 229,075.14, 316,125.42 and 125,708.64

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Solution

The fourth proportional to 229,075.14, 316,125.42 and 125,708.64 is: 173,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,075.14 : 316,125.42 = 125,708.64 : x
  2. Step 2: Convert to fraction form
    229,075.14/316,125.42 = 125,708.64/x
  3. Step 3: Cross multiply
    229,075.14x = 316,125.42 × 125,708.64
  4. Step 4: Simplify right side
    229,075.14x = 39,739,696,617.63
  5. Step 5: Solve for x
    x = 39,739,696,617.63/229,075.14
  6. Step 6: Final answer
    x = 173,478.87

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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.