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Finding the Fourth Proportional to 238,670.12, 358,254.12 and 105,643.82

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Solution

The fourth proportional to 238,670.12, 358,254.12 and 105,643.82 is: 158,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,670.12 : 358,254.12 = 105,643.82 : x
  2. Step 2: Convert to fraction form
    238,670.12/358,254.12 = 105,643.82/x
  3. Step 3: Cross multiply
    238,670.12x = 358,254.12 × 105,643.82
  4. Step 4: Simplify right side
    238,670.12x = 37,847,333,767.54
  5. Step 5: Solve for x
    x = 37,847,333,767.54/238,670.12
  6. Step 6: Final answer
    x = 158,575.92

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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.