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Finding the Fourth Proportional to 209,985, 314,977.50 and 62,241

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Solution

The fourth proportional to 209,985, 314,977.50 and 62,241 is: 93,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,985 : 314,977.50 = 62,241 : x
  2. Step 2: Convert to fraction form
    209,985/314,977.50 = 62,241/x
  3. Step 3: Cross multiply
    209,985x = 314,977.50 × 62,241
  4. Step 4: Simplify right side
    209,985x = 19,604,514,577.50
  5. Step 5: Solve for x
    x = 19,604,514,577.50/209,985
  6. Step 6: Final answer
    x = 93,361.50

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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.