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Finding the Fourth Proportional to 141,662.64, 212,348.16 and 62,814

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Solution

The fourth proportional to 141,662.64, 212,348.16 and 62,814 is: 94,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,662.64 : 212,348.16 = 62,814 : x
  2. Step 2: Convert to fraction form
    141,662.64/212,348.16 = 62,814/x
  3. Step 3: Cross multiply
    141,662.64x = 212,348.16 × 62,814
  4. Step 4: Simplify right side
    141,662.64x = 13,338,437,322.24
  5. Step 5: Solve for x
    x = 13,338,437,322.24/141,662.64
  6. Step 6: Final answer
    x = 94,156.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.