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Finding the Fourth Proportional to 101,613, 140,224.05 and 56,289.98

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Solution

The fourth proportional to 101,613, 140,224.05 and 56,289.98 is: 77,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,613 : 140,224.05 = 56,289.98 : x
  2. Step 2: Convert to fraction form
    101,613/140,224.05 = 56,289.98/x
  3. Step 3: Cross multiply
    101,613x = 140,224.05 × 56,289.98
  4. Step 4: Simplify right side
    101,613x = 7,893,208,970.02
  5. Step 5: Solve for x
    x = 7,893,208,970.02/101,613
  6. Step 6: Final answer
    x = 77,679.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.