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Finding the Fourth Proportional to 102,353.78, 153,501.50 and 64,857.26

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Solution

The fourth proportional to 102,353.78, 153,501.50 and 64,857.26 is: 97,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,353.78 : 153,501.50 = 64,857.26 : x
  2. Step 2: Convert to fraction form
    102,353.78/153,501.50 = 64,857.26/x
  3. Step 3: Cross multiply
    102,353.78x = 153,501.50 × 64,857.26
  4. Step 4: Simplify right side
    102,353.78x = 9,955,686,695.89
  5. Step 5: Solve for x
    x = 9,955,686,695.89/102,353.78
  6. Step 6: Final answer
    x = 97,267.41

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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.