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Finding the Fourth Proportional to 222,784.61, 334,264.39 and 98,038.13

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Solution

The fourth proportional to 222,784.61, 334,264.39 and 98,038.13 is: 147,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,784.61 : 334,264.39 = 98,038.13 : x
  2. Step 2: Convert to fraction form
    222,784.61/334,264.39 = 98,038.13/x
  3. Step 3: Cross multiply
    222,784.61x = 334,264.39 × 98,038.13
  4. Step 4: Simplify right side
    222,784.61x = 32,770,653,804.77
  5. Step 5: Solve for x
    x = 32,770,653,804.77/222,784.61
  6. Step 6: Final answer
    x = 147,095.68

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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.