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Finding the Fourth Proportional to 153,409.50, 230,117.13 and 42,604.38

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Solution

The fourth proportional to 153,409.50, 230,117.13 and 42,604.38 is: 63,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,409.50 : 230,117.13 = 42,604.38 : x
  2. Step 2: Convert to fraction form
    153,409.50/230,117.13 = 42,604.38/x
  3. Step 3: Cross multiply
    153,409.50x = 230,117.13 × 42,604.38
  4. Step 4: Simplify right side
    153,409.50x = 9,803,997,651.03
  5. Step 5: Solve for x
    x = 9,803,997,651.03/153,409.50
  6. Step 6: Final answer
    x = 63,907.37

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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.