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Finding the Fourth Proportional to 153,679.67, 230,464.12 and 64,940.10

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Solution

The fourth proportional to 153,679.67, 230,464.12 and 64,940.10 is: 97,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,679.67 : 230,464.12 = 64,940.10 : x
  2. Step 2: Convert to fraction form
    153,679.67/230,464.12 = 64,940.10/x
  3. Step 3: Cross multiply
    153,679.67x = 230,464.12 × 64,940.10
  4. Step 4: Simplify right side
    153,679.67x = 14,966,362,999.21
  5. Step 5: Solve for x
    x = 14,966,362,999.21/153,679.67
  6. Step 6: Final answer
    x = 97,386.75

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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.