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Finding the Fourth Proportional to 286,314, 429,337.68 and 106,274.16

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Solution

The fourth proportional to 286,314, 429,337.68 and 106,274.16 is: 159,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,314 : 429,337.68 = 106,274.16 : x
  2. Step 2: Convert to fraction form
    286,314/429,337.68 = 106,274.16/x
  3. Step 3: Cross multiply
    286,314x = 429,337.68 × 106,274.16
  4. Step 4: Simplify right side
    286,314x = 45,627,501,298.35
  5. Step 5: Solve for x
    x = 45,627,501,298.35/286,314
  6. Step 6: Final answer
    x = 159,361.75

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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.