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Finding the Fourth Proportional to 109,656.10, 164,549.77 and 100,733.14

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Solution

The fourth proportional to 109,656.10, 164,549.77 and 100,733.14 is: 151,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,656.10 : 164,549.77 = 100,733.14 : x
  2. Step 2: Convert to fraction form
    109,656.10/164,549.77 = 100,733.14/x
  3. Step 3: Cross multiply
    109,656.10x = 164,549.77 × 100,733.14
  4. Step 4: Simplify right side
    109,656.10x = 16,575,615,018.38
  5. Step 5: Solve for x
    x = 16,575,615,018.38/109,656.10
  6. Step 6: Final answer
    x = 151,159.99

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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.