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Finding the Fourth Proportional to 118,291.18, 177,465 and 39,406.06

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Solution

The fourth proportional to 118,291.18, 177,465 and 39,406.06 is: 59,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,291.18 : 177,465 = 39,406.06 : x
  2. Step 2: Convert to fraction form
    118,291.18/177,465 = 39,406.06/x
  3. Step 3: Cross multiply
    118,291.18x = 177,465 × 39,406.06
  4. Step 4: Simplify right side
    118,291.18x = 6,993,196,437.90
  5. Step 5: Solve for x
    x = 6,993,196,437.90/118,291.18
  6. Step 6: Final answer
    x = 59,118.49

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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.