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Finding the Fourth Proportional to 153,758.14, 230,668.34 and 65,011.50

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Solution

The fourth proportional to 153,758.14, 230,668.34 and 65,011.50 is: 97,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,758.14 : 230,668.34 = 65,011.50 : x
  2. Step 2: Convert to fraction form
    153,758.14/230,668.34 = 65,011.50/x
  3. Step 3: Cross multiply
    153,758.14x = 230,668.34 × 65,011.50
  4. Step 4: Simplify right side
    153,758.14x = 14,996,094,785.91
  5. Step 5: Solve for x
    x = 14,996,094,785.91/153,758.14
  6. Step 6: Final answer
    x = 97,530.41

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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.