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Finding the Fourth Proportional to 175,458, 263,214.36 and 57,101.40

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Solution

The fourth proportional to 175,458, 263,214.36 and 57,101.40 is: 85,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,458 : 263,214.36 = 57,101.40 : x
  2. Step 2: Convert to fraction form
    175,458/263,214.36 = 57,101.40/x
  3. Step 3: Cross multiply
    175,458x = 263,214.36 × 57,101.40
  4. Step 4: Simplify right side
    175,458x = 15,029,908,456.10
  5. Step 5: Solve for x
    x = 15,029,908,456.10/175,458
  6. Step 6: Final answer
    x = 85,661.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.