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Finding the Fourth Proportional to 102,259.64, 153,459.52 and 35,699.76

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Solution

The fourth proportional to 102,259.64, 153,459.52 and 35,699.76 is: 53,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,259.64 : 153,459.52 = 35,699.76 : x
  2. Step 2: Convert to fraction form
    102,259.64/153,459.52 = 35,699.76/x
  3. Step 3: Cross multiply
    102,259.64x = 153,459.52 × 35,699.76
  4. Step 4: Simplify right side
    102,259.64x = 5,478,467,944.47
  5. Step 5: Solve for x
    x = 5,478,467,944.47/102,259.64
  6. Step 6: Final answer
    x = 53,574.10

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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.