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Finding the Fourth Proportional to 171,495.95, 257,253.65 and 53,184.11

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Solution

The fourth proportional to 171,495.95, 257,253.65 and 53,184.11 is: 79,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,495.95 : 257,253.65 = 53,184.11 : x
  2. Step 2: Convert to fraction form
    171,495.95/257,253.65 = 53,184.11/x
  3. Step 3: Cross multiply
    171,495.95x = 257,253.65 × 53,184.11
  4. Step 4: Simplify right side
    171,495.95x = 13,681,806,419.50
  5. Step 5: Solve for x
    x = 13,681,806,419.50/171,495.95
  6. Step 6: Final answer
    x = 79,779.18

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Why These Related Problems?

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