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Finding the Fourth Proportional to 223,153.94, 334,730.82 and 65,382.32

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Solution

The fourth proportional to 223,153.94, 334,730.82 and 65,382.32 is: 98,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,153.94 : 334,730.82 = 65,382.32 : x
  2. Step 2: Convert to fraction form
    223,153.94/334,730.82 = 65,382.32/x
  3. Step 3: Cross multiply
    223,153.94x = 334,730.82 × 65,382.32
  4. Step 4: Simplify right side
    223,153.94x = 21,885,477,587.10
  5. Step 5: Solve for x
    x = 21,885,477,587.10/223,153.94
  6. Step 6: Final answer
    x = 98,073.45

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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.