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Finding the Fourth Proportional to 257,412.45, 354,835.43 and 180,716.38

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Solution

The fourth proportional to 257,412.45, 354,835.43 and 180,716.38 is: 249,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,412.45 : 354,835.43 = 180,716.38 : x
  2. Step 2: Convert to fraction form
    257,412.45/354,835.43 = 180,716.38/x
  3. Step 3: Cross multiply
    257,412.45x = 354,835.43 × 180,716.38
  4. Step 4: Simplify right side
    257,412.45x = 64,124,574,405.34
  5. Step 5: Solve for x
    x = 64,124,574,405.34/257,412.45
  6. Step 6: Final answer
    x = 249,112.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.