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Finding the Fourth Proportional to 346,531.92, 519,401.52 and 157,136.64

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Solution

The fourth proportional to 346,531.92, 519,401.52 and 157,136.64 is: 235,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,531.92 : 519,401.52 = 157,136.64 : x
  2. Step 2: Convert to fraction form
    346,531.92/519,401.52 = 157,136.64/x
  3. Step 3: Cross multiply
    346,531.92x = 519,401.52 × 157,136.64
  4. Step 4: Simplify right side
    346,531.92x = 81,617,009,663.69
  5. Step 5: Solve for x
    x = 81,617,009,663.69/346,531.92
  6. Step 6: Final answer
    x = 235,525.23

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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.