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Finding the Fourth Proportional to 212,867.40, 293,602.62 and 144,763.32

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Solution

The fourth proportional to 212,867.40, 293,602.62 and 144,763.32 is: 199,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,867.40 : 293,602.62 = 144,763.32 : x
  2. Step 2: Convert to fraction form
    212,867.40/293,602.62 = 144,763.32/x
  3. Step 3: Cross multiply
    212,867.40x = 293,602.62 × 144,763.32
  4. Step 4: Simplify right side
    212,867.40x = 42,502,890,031.90
  5. Step 5: Solve for x
    x = 42,502,890,031.90/212,867.40
  6. Step 6: Final answer
    x = 199,668.39

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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.