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Finding the Fourth Proportional to 213,176.99, 294,176.53 and 117,681.64

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Solution

The fourth proportional to 213,176.99, 294,176.53 and 117,681.64 is: 162,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,176.99 : 294,176.53 = 117,681.64 : x
  2. Step 2: Convert to fraction form
    213,176.99/294,176.53 = 117,681.64/x
  3. Step 3: Cross multiply
    213,176.99x = 294,176.53 × 117,681.64
  4. Step 4: Simplify right side
    213,176.99x = 34,619,175,249.61
  5. Step 5: Solve for x
    x = 34,619,175,249.61/213,176.99
  6. Step 6: Final answer
    x = 162,396.40

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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.