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Finding the Fourth Proportional to 257,170.51, 385,647.56 and 97,219.54

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Solution

The fourth proportional to 257,170.51, 385,647.56 and 97,219.54 is: 145,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,170.51 : 385,647.56 = 97,219.54 : x
  2. Step 2: Convert to fraction form
    257,170.51/385,647.56 = 97,219.54/x
  3. Step 3: Cross multiply
    257,170.51x = 385,647.56 × 97,219.54
  4. Step 4: Simplify right side
    257,170.51x = 37,492,475,970.99
  5. Step 5: Solve for x
    x = 37,492,475,970.99/257,170.51
  6. Step 6: Final answer
    x = 145,788.40

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1.5x scale

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.