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Finding the Fourth Proportional to 214,277.43, 295,682.95 and 118,776

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Solution

The fourth proportional to 214,277.43, 295,682.95 and 118,776 is: 163,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,277.43 : 295,682.95 = 118,776 : x
  2. Step 2: Convert to fraction form
    214,277.43/295,682.95 = 118,776/x
  3. Step 3: Cross multiply
    214,277.43x = 295,682.95 × 118,776
  4. Step 4: Simplify right side
    214,277.43x = 35,120,038,069.20
  5. Step 5: Solve for x
    x = 35,120,038,069.20/214,277.43
  6. Step 6: Final answer
    x = 163,899.85

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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.