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Finding the Fourth Proportional to 227,677.84, 314,166.44 and 127,080.08

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Solution

The fourth proportional to 227,677.84, 314,166.44 and 127,080.08 is: 175,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,677.84 : 314,166.44 = 127,080.08 : x
  2. Step 2: Convert to fraction form
    227,677.84/314,166.44 = 127,080.08/x
  3. Step 3: Cross multiply
    227,677.84x = 314,166.44 × 127,080.08
  4. Step 4: Simplify right side
    227,677.84x = 39,924,296,328.52
  5. Step 5: Solve for x
    x = 39,924,296,328.52/227,677.84
  6. Step 6: Final answer
    x = 175,354.34

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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.