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Finding the Fourth Proportional to 257,460.40, 386,075.40 and 99,636.40

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Solution

The fourth proportional to 257,460.40, 386,075.40 and 99,636.40 is: 149,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,460.40 : 386,075.40 = 99,636.40 : x
  2. Step 2: Convert to fraction form
    257,460.40/386,075.40 = 99,636.40/x
  3. Step 3: Cross multiply
    257,460.40x = 386,075.40 × 99,636.40
  4. Step 4: Simplify right side
    257,460.40x = 38,467,162,984.56
  5. Step 5: Solve for x
    x = 38,467,162,984.56/257,460.40
  6. Step 6: Final answer
    x = 149,410.02

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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.