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Finding the Fourth Proportional to 169,977.40, 254,955.30 and 57,657.40

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Solution

The fourth proportional to 169,977.40, 254,955.30 and 57,657.40 is: 86,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,977.40 : 254,955.30 = 57,657.40 : x
  2. Step 2: Convert to fraction form
    169,977.40/254,955.30 = 57,657.40/x
  3. Step 3: Cross multiply
    169,977.40x = 254,955.30 × 57,657.40
  4. Step 4: Simplify right side
    169,977.40x = 14,700,059,714.22
  5. Step 5: Solve for x
    x = 14,700,059,714.22/169,977.40
  6. Step 6: Final answer
    x = 86,482.44

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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.