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Finding the Fourth Proportional to 233,623, 322,457.34 and 133,080.28

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Solution

The fourth proportional to 233,623, 322,457.34 and 133,080.28 is: 183,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,623 : 322,457.34 = 133,080.28 : x
  2. Step 2: Convert to fraction form
    233,623/322,457.34 = 133,080.28/x
  3. Step 3: Cross multiply
    233,623x = 322,457.34 × 133,080.28
  4. Step 4: Simplify right side
    233,623x = 42,912,713,095.26
  5. Step 5: Solve for x
    x = 42,912,713,095.26/233,623
  6. Step 6: Final answer
    x = 183,683.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.