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Finding the Fourth Proportional to 153,759.58, 230,670.50 and 65,012.94

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Solution

The fourth proportional to 153,759.58, 230,670.50 and 65,012.94 is: 97,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,759.58 : 230,670.50 = 65,012.94 : x
  2. Step 2: Convert to fraction form
    153,759.58/230,670.50 = 65,012.94/x
  3. Step 3: Cross multiply
    153,759.58x = 230,670.50 × 65,012.94
  4. Step 4: Simplify right side
    153,759.58x = 14,996,565,897.85
  5. Step 5: Solve for x
    x = 14,996,565,897.85/153,759.58
  6. Step 6: Final answer
    x = 97,532.57

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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.