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Finding the Fourth Proportional to 157,352.64, 236,063.52 and 46,536

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Solution

The fourth proportional to 157,352.64, 236,063.52 and 46,536 is: 69,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,352.64 : 236,063.52 = 46,536 : x
  2. Step 2: Convert to fraction form
    157,352.64/236,063.52 = 46,536/x
  3. Step 3: Cross multiply
    157,352.64x = 236,063.52 × 46,536
  4. Step 4: Simplify right side
    157,352.64x = 10,985,451,966.72
  5. Step 5: Solve for x
    x = 10,985,451,966.72/157,352.64
  6. Step 6: Final answer
    x = 69,814.22

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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.