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Finding the Fourth Proportional to 253,307.25, 349,564.14 and 140,147.01

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Solution

The fourth proportional to 253,307.25, 349,564.14 and 140,147.01 is: 193,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,307.25 : 349,564.14 = 140,147.01 : x
  2. Step 2: Convert to fraction form
    253,307.25/349,564.14 = 140,147.01/x
  3. Step 3: Cross multiply
    253,307.25x = 349,564.14 × 140,147.01
  4. Step 4: Simplify right side
    253,307.25x = 48,990,369,024.22
  5. Step 5: Solve for x
    x = 48,990,369,024.22/253,307.25
  6. Step 6: Final answer
    x = 193,402.95

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