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Finding the Fourth Proportional to 153,404.40, 211,697.64 and 86,336.40

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Solution

The fourth proportional to 153,404.40, 211,697.64 and 86,336.40 is: 119,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,404.40 : 211,697.64 = 86,336.40 : x
  2. Step 2: Convert to fraction form
    153,404.40/211,697.64 = 86,336.40/x
  3. Step 3: Cross multiply
    153,404.40x = 211,697.64 × 86,336.40
  4. Step 4: Simplify right side
    153,404.40x = 18,277,212,126.10
  5. Step 5: Solve for x
    x = 18,277,212,126.10/153,404.40
  6. Step 6: Final answer
    x = 119,143.99

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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.