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Finding the Fourth Proportional to 212,523.95, 293,283.38 and 117,031.03

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Solution

The fourth proportional to 212,523.95, 293,283.38 and 117,031.03 is: 161,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,523.95 : 293,283.38 = 117,031.03 : x
  2. Step 2: Convert to fraction form
    212,523.95/293,283.38 = 117,031.03/x
  3. Step 3: Cross multiply
    212,523.95x = 293,283.38 × 117,031.03
  4. Step 4: Simplify right side
    212,523.95x = 34,323,255,602.65
  5. Step 5: Solve for x
    x = 34,323,255,602.65/212,523.95
  6. Step 6: Final answer
    x = 161,503.00

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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.