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Finding the Fourth Proportional to 157,570.98, 236,356.35 and 46,762.98

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Solution

The fourth proportional to 157,570.98, 236,356.35 and 46,762.98 is: 70,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,570.98 : 236,356.35 = 46,762.98 : x
  2. Step 2: Convert to fraction form
    157,570.98/236,356.35 = 46,762.98/x
  3. Step 3: Cross multiply
    157,570.98x = 236,356.35 × 46,762.98
  4. Step 4: Simplify right side
    157,570.98x = 11,052,727,267.92
  5. Step 5: Solve for x
    x = 11,052,727,267.92/157,570.98
  6. Step 6: Final answer
    x = 70,144.43

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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.