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Finding the Fourth Proportional to 256,095.94, 384,339.93 and 115,952.98

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Solution

The fourth proportional to 256,095.94, 384,339.93 and 115,952.98 is: 174,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.94 : 384,339.93 = 115,952.98 : x
  2. Step 2: Convert to fraction form
    256,095.94/384,339.93 = 115,952.98/x
  3. Step 3: Cross multiply
    256,095.94x = 384,339.93 × 115,952.98
  4. Step 4: Simplify right side
    256,095.94x = 44,565,360,216.49
  5. Step 5: Solve for x
    x = 44,565,360,216.49/256,095.94
  6. Step 6: Final answer
    x = 174,018.22

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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.