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Finding the Fourth Proportional to 157,564, 236,346 and 46,756

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Solution

The fourth proportional to 157,564, 236,346 and 46,756 is: 70,134

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564 : 236,346 = 46,756 : x
  2. Step 2: Convert to fraction form
    157,564/236,346 = 46,756/x
  3. Step 3: Cross multiply
    157,564x = 236,346 × 46,756
  4. Step 4: Simplify right side
    157,564x = 11,050,593,576
  5. Step 5: Solve for x
    x = 11,050,593,576/157,564
  6. Step 6: Final answer
    x = 70,134

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.