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Finding the Fourth Proportional to 358,164.67, 537,062.10 and 105,412.32

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Solution

The fourth proportional to 358,164.67, 537,062.10 and 105,412.32 is: 158,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,164.67 : 537,062.10 = 105,412.32 : x
  2. Step 2: Convert to fraction form
    358,164.67/537,062.10 = 105,412.32/x
  3. Step 3: Cross multiply
    358,164.67x = 537,062.10 × 105,412.32
  4. Step 4: Simplify right side
    358,164.67x = 56,612,961,945.07
  5. Step 5: Solve for x
    x = 56,612,961,945.07/358,164.67
  6. Step 6: Final answer
    x = 158,064.06

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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.