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Finding the Fourth Proportional to 259,894.31, 358,657.14 and 152,466.17

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Solution

The fourth proportional to 259,894.31, 358,657.14 and 152,466.17 is: 210,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,894.31 : 358,657.14 = 152,466.17 : x
  2. Step 2: Convert to fraction form
    259,894.31/358,657.14 = 152,466.17/x
  3. Step 3: Cross multiply
    259,894.31x = 358,657.14 × 152,466.17
  4. Step 4: Simplify right side
    259,894.31x = 54,683,078,685.67
  5. Step 5: Solve for x
    x = 54,683,078,685.67/259,894.31
  6. Step 6: Final answer
    x = 210,405.07

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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.