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Finding the Fourth Proportional to 233,643.46, 350,460.16 and 65,159.30

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Solution

The fourth proportional to 233,643.46, 350,460.16 and 65,159.30 is: 97,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,643.46 : 350,460.16 = 65,159.30 : x
  2. Step 2: Convert to fraction form
    233,643.46/350,460.16 = 65,159.30/x
  3. Step 3: Cross multiply
    233,643.46x = 350,460.16 × 65,159.30
  4. Step 4: Simplify right side
    233,643.46x = 22,835,738,703.49
  5. Step 5: Solve for x
    x = 22,835,738,703.49/233,643.46
  6. Step 6: Final answer
    x = 97,737.55

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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.