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Finding the Fourth Proportional to 286,245.30, 429,022.35 and 145,931.70

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Solution

The fourth proportional to 286,245.30, 429,022.35 and 145,931.70 is: 218,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,245.30 : 429,022.35 = 145,931.70 : x
  2. Step 2: Convert to fraction form
    286,245.30/429,022.35 = 145,931.70/x
  3. Step 3: Cross multiply
    286,245.30x = 429,022.35 × 145,931.70
  4. Step 4: Simplify right side
    286,245.30x = 62,607,960,873.50
  5. Step 5: Solve for x
    x = 62,607,960,873.50/286,245.30
  6. Step 6: Final answer
    x = 218,721.36

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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.