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Finding the Fourth Proportional to 233,210.80, 349,730.32 and 83,410.48

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Solution

The fourth proportional to 233,210.80, 349,730.32 and 83,410.48 is: 125,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,210.80 : 349,730.32 = 83,410.48 : x
  2. Step 2: Convert to fraction form
    233,210.80/349,730.32 = 83,410.48/x
  3. Step 3: Cross multiply
    233,210.80x = 349,730.32 × 83,410.48
  4. Step 4: Simplify right side
    233,210.80x = 29,171,173,861.75
  5. Step 5: Solve for x
    x = 29,171,173,861.75/233,210.80
  6. Step 6: Final answer
    x = 125,085.00

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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.