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Finding the Fourth Proportional to 147,592.52, 221,410.65 and 77,477.30

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Solution

The fourth proportional to 147,592.52, 221,410.65 and 77,477.30 is: 116,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,592.52 : 221,410.65 = 77,477.30 : x
  2. Step 2: Convert to fraction form
    147,592.52/221,410.65 = 77,477.30/x
  3. Step 3: Cross multiply
    147,592.52x = 221,410.65 × 77,477.30
  4. Step 4: Simplify right side
    147,592.52x = 17,154,299,353.25
  5. Step 5: Solve for x
    x = 17,154,299,353.25/147,592.52
  6. Step 6: Final answer
    x = 116,227.43

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1.5x scale

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.