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Finding the Fourth Proportional to 101,814.39, 140,501.71 and 56,491.40

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Solution

The fourth proportional to 101,814.39, 140,501.71 and 56,491.40 is: 77,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,814.39 : 140,501.71 = 56,491.40 : x
  2. Step 2: Convert to fraction form
    101,814.39/140,501.71 = 56,491.40/x
  3. Step 3: Cross multiply
    101,814.39x = 140,501.71 × 56,491.40
  4. Step 4: Simplify right side
    101,814.39x = 7,937,138,300.29
  5. Step 5: Solve for x
    x = 7,937,138,300.29/101,814.39
  6. Step 6: Final answer
    x = 77,956.94

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