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Finding the Fourth Proportional to 233,822.16, 322,459.38 and 153,220.41

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Solution

The fourth proportional to 233,822.16, 322,459.38 and 153,220.41 is: 211,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,822.16 : 322,459.38 = 153,220.41 : x
  2. Step 2: Convert to fraction form
    233,822.16/322,459.38 = 153,220.41/x
  3. Step 3: Cross multiply
    233,822.16x = 322,459.38 × 153,220.41
  4. Step 4: Simplify right side
    233,822.16x = 49,407,358,411.95
  5. Step 5: Solve for x
    x = 49,407,358,411.95/233,822.16
  6. Step 6: Final answer
    x = 211,303.15

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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.