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Finding the Fourth Proportional to 102,259.39, 153,459.14 and 35,699.51

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Solution

The fourth proportional to 102,259.39, 153,459.14 and 35,699.51 is: 53,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,259.39 : 153,459.14 = 35,699.51 : x
  2. Step 2: Convert to fraction form
    102,259.39/153,459.14 = 35,699.51/x
  3. Step 3: Cross multiply
    102,259.39x = 153,459.14 × 35,699.51
  4. Step 4: Simplify right side
    102,259.39x = 5,478,416,103.02
  5. Step 5: Solve for x
    x = 5,478,416,103.02/102,259.39
  6. Step 6: Final answer
    x = 53,573.72

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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.