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Finding the Fourth Proportional to 401,678.60, 602,515.29 and 102,156.59

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Solution

The fourth proportional to 401,678.60, 602,515.29 and 102,156.59 is: 153,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,678.60 : 602,515.29 = 102,156.59 : x
  2. Step 2: Convert to fraction form
    401,678.60/602,515.29 = 102,156.59/x
  3. Step 3: Cross multiply
    401,678.60x = 602,515.29 × 102,156.59
  4. Step 4: Simplify right side
    401,678.60x = 61,550,905,310.35
  5. Step 5: Solve for x
    x = 61,550,905,310.35/401,678.60
  6. Step 6: Final answer
    x = 153,234.22

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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.