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Finding the Fourth Proportional to 175,765.14, 263,645.19 and 42,646.50

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Solution

The fourth proportional to 175,765.14, 263,645.19 and 42,646.50 is: 63,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,765.14 : 263,645.19 = 42,646.50 : x
  2. Step 2: Convert to fraction form
    175,765.14/263,645.19 = 42,646.50/x
  3. Step 3: Cross multiply
    175,765.14x = 263,645.19 × 42,646.50
  4. Step 4: Simplify right side
    175,765.14x = 11,243,544,595.34
  5. Step 5: Solve for x
    x = 11,243,544,595.34/175,765.14
  6. Step 6: Final answer
    x = 63,969.14

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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.