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Finding the Fourth Proportional to 116,209, 174,313.50 and 28,657

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Solution

The fourth proportional to 116,209, 174,313.50 and 28,657 is: 42,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,209 : 174,313.50 = 28,657 : x
  2. Step 2: Convert to fraction form
    116,209/174,313.50 = 28,657/x
  3. Step 3: Cross multiply
    116,209x = 174,313.50 × 28,657
  4. Step 4: Simplify right side
    116,209x = 4,995,301,969.50
  5. Step 5: Solve for x
    x = 4,995,301,969.50/116,209
  6. Step 6: Final answer
    x = 42,985.50

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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.