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Finding the Fourth Proportional to 235,409.76, 352,980 and 77,595.84

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Solution

The fourth proportional to 235,409.76, 352,980 and 77,595.84 is: 116,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,409.76 : 352,980 = 77,595.84 : x
  2. Step 2: Convert to fraction form
    235,409.76/352,980 = 77,595.84/x
  3. Step 3: Cross multiply
    235,409.76x = 352,980 × 77,595.84
  4. Step 4: Simplify right side
    235,409.76x = 27,389,779,603.20
  5. Step 5: Solve for x
    x = 27,389,779,603.20/235,409.76
  6. Step 6: Final answer
    x = 116,349.38

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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.