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Finding the Fourth Proportional to 210,456.36, 315,762.30 and 77,423.58

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Solution

The fourth proportional to 210,456.36, 315,762.30 and 77,423.58 is: 116,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,456.36 : 315,762.30 = 77,423.58 : x
  2. Step 2: Convert to fraction form
    210,456.36/315,762.30 = 77,423.58/x
  3. Step 3: Cross multiply
    210,456.36x = 315,762.30 × 77,423.58
  4. Step 4: Simplify right side
    210,456.36x = 24,447,447,695.03
  5. Step 5: Solve for x
    x = 24,447,447,695.03/210,456.36
  6. Step 6: Final answer
    x = 116,163.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.