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Finding the Fourth Proportional to 175,798.36, 263,697.54 and 42,678.82

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Solution

The fourth proportional to 175,798.36, 263,697.54 and 42,678.82 is: 64,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,798.36 : 263,697.54 = 42,678.82 : x
  2. Step 2: Convert to fraction form
    175,798.36/263,697.54 = 42,678.82/x
  3. Step 3: Cross multiply
    175,798.36x = 263,697.54 × 42,678.82
  4. Step 4: Simplify right side
    175,798.36x = 11,254,299,844.10
  5. Step 5: Solve for x
    x = 11,254,299,844.10/175,798.36
  6. Step 6: Final answer
    x = 64,018.23

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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.