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Finding the Fourth Proportional to 234,643.96, 324,075.95 and 159,061.24

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Solution

The fourth proportional to 234,643.96, 324,075.95 and 159,061.24 is: 219,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,643.96 : 324,075.95 = 159,061.24 : x
  2. Step 2: Convert to fraction form
    234,643.96/324,075.95 = 159,061.24/x
  3. Step 3: Cross multiply
    234,643.96x = 324,075.95 × 159,061.24
  4. Step 4: Simplify right side
    234,643.96x = 51,547,922,461.18
  5. Step 5: Solve for x
    x = 51,547,922,461.18/234,643.96
  6. Step 6: Final answer
    x = 219,685.70

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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.