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Finding the Fourth Proportional to 147,875.40, 221,813.10 and 146,563.20

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Solution

The fourth proportional to 147,875.40, 221,813.10 and 146,563.20 is: 219,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,875.40 : 221,813.10 = 146,563.20 : x
  2. Step 2: Convert to fraction form
    147,875.40/221,813.10 = 146,563.20/x
  3. Step 3: Cross multiply
    147,875.40x = 221,813.10 × 146,563.20
  4. Step 4: Simplify right side
    147,875.40x = 32,509,637,737.92
  5. Step 5: Solve for x
    x = 32,509,637,737.92/147,875.40
  6. Step 6: Final answer
    x = 219,844.80

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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.