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Finding the Fourth Proportional to 212,856.53, 293,587.63 and 144,752.45

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Solution

The fourth proportional to 212,856.53, 293,587.63 and 144,752.45 is: 199,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,856.53 : 293,587.63 = 144,752.45 : x
  2. Step 2: Convert to fraction form
    212,856.53/293,587.63 = 144,752.45/x
  3. Step 3: Cross multiply
    212,856.53x = 293,587.63 × 144,752.45
  4. Step 4: Simplify right side
    212,856.53x = 42,497,526,902.37
  5. Step 5: Solve for x
    x = 42,497,526,902.37/212,856.53
  6. Step 6: Final answer
    x = 199,653.39

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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.