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Finding the Fourth Proportional to 212,496, 293,244.48 and 118,288

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Solution

The fourth proportional to 212,496, 293,244.48 and 118,288 is: 163,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,496 : 293,244.48 = 118,288 : x
  2. Step 2: Convert to fraction form
    212,496/293,244.48 = 118,288/x
  3. Step 3: Cross multiply
    212,496x = 293,244.48 × 118,288
  4. Step 4: Simplify right side
    212,496x = 34,687,303,050.24
  5. Step 5: Solve for x
    x = 34,687,303,050.24/212,496
  6. Step 6: Final answer
    x = 163,237.44

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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.