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Finding the Fourth Proportional to 102,401.16, 153,345.24 and 64,847.94

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Solution

The fourth proportional to 102,401.16, 153,345.24 and 64,847.94 is: 97,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,401.16 : 153,345.24 = 64,847.94 : x
  2. Step 2: Convert to fraction form
    102,401.16/153,345.24 = 64,847.94/x
  3. Step 3: Cross multiply
    102,401.16x = 153,345.24 × 64,847.94
  4. Step 4: Simplify right side
    102,401.16x = 9,944,122,922.81
  5. Step 5: Solve for x
    x = 9,944,122,922.81/102,401.16
  6. Step 6: Final answer
    x = 97,109.48

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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.