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Finding the Fourth Proportional to 340,196.36, 510,294.53 and 103,537.14

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Solution

The fourth proportional to 340,196.36, 510,294.53 and 103,537.14 is: 155,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,196.36 : 510,294.53 = 103,537.14 : x
  2. Step 2: Convert to fraction form
    340,196.36/510,294.53 = 103,537.14/x
  3. Step 3: Cross multiply
    340,196.36x = 510,294.53 × 103,537.14
  4. Step 4: Simplify right side
    340,196.36x = 52,834,434,539.08
  5. Step 5: Solve for x
    x = 52,834,434,539.08/340,196.36
  6. Step 6: Final answer
    x = 155,305.70

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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.