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Finding the Fourth Proportional to 256,095.24, 353,430.98 and 141,395.95

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Solution

The fourth proportional to 256,095.24, 353,430.98 and 141,395.95 is: 195,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.24 : 353,430.98 = 141,395.95 : x
  2. Step 2: Convert to fraction form
    256,095.24/353,430.98 = 141,395.95/x
  3. Step 3: Cross multiply
    256,095.24x = 353,430.98 × 141,395.95
  4. Step 4: Simplify right side
    256,095.24x = 49,973,709,176.53
  5. Step 5: Solve for x
    x = 49,973,709,176.53/256,095.24
  6. Step 6: Final answer
    x = 195,137.20

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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.