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Finding the Fourth Proportional to 171,953.30, 257,492.55 and 164,080.10

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Solution

The fourth proportional to 171,953.30, 257,492.55 and 164,080.10 is: 245,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,953.30 : 257,492.55 = 164,080.10 : x
  2. Step 2: Convert to fraction form
    171,953.30/257,492.55 = 164,080.10/x
  3. Step 3: Cross multiply
    171,953.30x = 257,492.55 × 164,080.10
  4. Step 4: Simplify right side
    171,953.30x = 42,249,403,353.26
  5. Step 5: Solve for x
    x = 42,249,403,353.26/171,953.30
  6. Step 6: Final answer
    x = 245,702.78

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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.