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Finding the Fourth Proportional to 118,399, 163,390.62 and 65,407

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Solution

The fourth proportional to 118,399, 163,390.62 and 65,407 is: 90,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,399 : 163,390.62 = 65,407 : x
  2. Step 2: Convert to fraction form
    118,399/163,390.62 = 65,407/x
  3. Step 3: Cross multiply
    118,399x = 163,390.62 × 65,407
  4. Step 4: Simplify right side
    118,399x = 10,686,890,282.34
  5. Step 5: Solve for x
    x = 10,686,890,282.34/118,399
  6. Step 6: Final answer
    x = 90,261.66

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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.