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Finding the Fourth Proportional to 214,277.11, 295,642.55 and 168,814

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Solution

The fourth proportional to 214,277.11, 295,642.55 and 168,814 is: 232,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,277.11 : 295,642.55 = 168,814 : x
  2. Step 2: Convert to fraction form
    214,277.11/295,642.55 = 168,814/x
  3. Step 3: Cross multiply
    214,277.11x = 295,642.55 × 168,814
  4. Step 4: Simplify right side
    214,277.11x = 49,908,601,435.70
  5. Step 5: Solve for x
    x = 49,908,601,435.70/214,277.11
  6. Step 6: Final answer
    x = 232,916.16

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1.5x scale

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.