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Finding the Fourth Proportional to 101,666.32, 140,299.88 and 56,345.06

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Solution

The fourth proportional to 101,666.32, 140,299.88 and 56,345.06 is: 77,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,666.32 : 140,299.88 = 56,345.06 : x
  2. Step 2: Convert to fraction form
    101,666.32/140,299.88 = 56,345.06/x
  3. Step 3: Cross multiply
    101,666.32x = 140,299.88 × 56,345.06
  4. Step 4: Simplify right side
    101,666.32x = 7,905,205,225.62
  5. Step 5: Solve for x
    x = 7,905,205,225.62/101,666.32
  6. Step 6: Final answer
    x = 77,756.38

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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.