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Finding the Fourth Proportional to 357,074.86, 535,751.71 and 157,254.82

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Solution

The fourth proportional to 357,074.86, 535,751.71 and 157,254.82 is: 235,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,074.86 : 535,751.71 = 157,254.82 : x
  2. Step 2: Convert to fraction form
    357,074.86/535,751.71 = 157,254.82/x
  3. Step 3: Cross multiply
    357,074.86x = 535,751.71 × 157,254.82
  4. Step 4: Simplify right side
    357,074.86x = 84,249,538,720.74
  5. Step 5: Solve for x
    x = 84,249,538,720.74/357,074.86
  6. Step 6: Final answer
    x = 235,943.63

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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.