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Finding the Fourth Proportional to 357,075.68, 535,597.32 and 157,342.64

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Solution

The fourth proportional to 357,075.68, 535,597.32 and 157,342.64 is: 236,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,075.68 : 535,597.32 = 157,342.64 : x
  2. Step 2: Convert to fraction form
    357,075.68/535,597.32 = 157,342.64/x
  3. Step 3: Cross multiply
    357,075.68x = 535,597.32 × 157,342.64
  4. Step 4: Simplify right side
    357,075.68x = 84,272,296,305.72
  5. Step 5: Solve for x
    x = 84,272,296,305.72/357,075.68
  6. Step 6: Final answer
    x = 236,006.82

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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.