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Finding the Fourth Proportional to 153,662.94, 230,486.11 and 58,938.50

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Solution

The fourth proportional to 153,662.94, 230,486.11 and 58,938.50 is: 88,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,662.94 : 230,486.11 = 58,938.50 : x
  2. Step 2: Convert to fraction form
    153,662.94/230,486.11 = 58,938.50/x
  3. Step 3: Cross multiply
    153,662.94x = 230,486.11 × 58,938.50
  4. Step 4: Simplify right side
    153,662.94x = 13,584,506,023.10
  5. Step 5: Solve for x
    x = 13,584,506,023.10/153,662.94
  6. Step 6: Final answer
    x = 88,404.57

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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.