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Finding the Fourth Proportional to 210,567.66, 315,661.94 and 77,419.45

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Solution

The fourth proportional to 210,567.66, 315,661.94 and 77,419.45 is: 116,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,567.66 : 315,661.94 = 77,419.45 : x
  2. Step 2: Convert to fraction form
    210,567.66/315,661.94 = 77,419.45/x
  3. Step 3: Cross multiply
    210,567.66x = 315,661.94 × 77,419.45
  4. Step 4: Simplify right side
    210,567.66x = 24,438,374,514.02
  5. Step 5: Solve for x
    x = 24,438,374,514.02/210,567.66
  6. Step 6: Final answer
    x = 116,059.49

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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.