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Finding the Fourth Proportional to 357,075.86, 535,753.21 and 157,255.82

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Solution

The fourth proportional to 357,075.86, 535,753.21 and 157,255.82 is: 235,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,075.86 : 535,753.21 = 157,255.82 : x
  2. Step 2: Convert to fraction form
    357,075.86/535,753.21 = 157,255.82/x
  3. Step 3: Cross multiply
    357,075.86x = 535,753.21 × 157,255.82
  4. Step 4: Simplify right side
    357,075.86x = 84,250,310,356.18
  5. Step 5: Solve for x
    x = 84,250,310,356.18/357,075.86
  6. Step 6: Final answer
    x = 235,945.13

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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.