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Finding the Fourth Proportional to 222,784.98, 334,264.95 and 98,038.50

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Solution

The fourth proportional to 222,784.98, 334,264.95 and 98,038.50 is: 147,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,784.98 : 334,264.95 = 98,038.50 : x
  2. Step 2: Convert to fraction form
    222,784.98/334,264.95 = 98,038.50/x
  3. Step 3: Cross multiply
    222,784.98x = 334,264.95 × 98,038.50
  4. Step 4: Simplify right side
    222,784.98x = 32,770,834,300.58
  5. Step 5: Solve for x
    x = 32,770,834,300.58/222,784.98
  6. Step 6: Final answer
    x = 147,096.25

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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.