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Finding the Fourth Proportional to 382,011, 573,052.95 and 157,386.66

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Solution

The fourth proportional to 382,011, 573,052.95 and 157,386.66 is: 236,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,011 : 573,052.95 = 157,386.66 : x
  2. Step 2: Convert to fraction form
    382,011/573,052.95 = 157,386.66/x
  3. Step 3: Cross multiply
    382,011x = 573,052.95 × 157,386.66
  4. Step 4: Simplify right side
    382,011x = 90,190,889,803.65
  5. Step 5: Solve for x
    x = 90,190,889,803.65/382,011
  6. Step 6: Final answer
    x = 236,095.01

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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.