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Finding the Fourth Proportional to 157,830, 236,848.68 and 59,334

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Solution

The fourth proportional to 157,830, 236,848.68 and 59,334 is: 89,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,830 : 236,848.68 = 59,334 : x
  2. Step 2: Convert to fraction form
    157,830/236,848.68 = 59,334/x
  3. Step 3: Cross multiply
    157,830x = 236,848.68 × 59,334
  4. Step 4: Simplify right side
    157,830x = 14,053,179,579.12
  5. Step 5: Solve for x
    x = 14,053,179,579.12/157,830
  6. Step 6: Final answer
    x = 89,039.98

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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.