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Finding the Fourth Proportional to 233,457.53, 322,158.17 and 137,973.11

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Solution

The fourth proportional to 233,457.53, 322,158.17 and 137,973.11 is: 190,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,457.53 : 322,158.17 = 137,973.11 : x
  2. Step 2: Convert to fraction form
    233,457.53/322,158.17 = 137,973.11/x
  3. Step 3: Cross multiply
    233,457.53x = 322,158.17 × 137,973.11
  4. Step 4: Simplify right side
    233,457.53x = 44,449,163,360.95
  5. Step 5: Solve for x
    x = 44,449,163,360.95/233,457.53
  6. Step 6: Final answer
    x = 190,395.08

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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.