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Finding the Fourth Proportional to 242,623.68, 363,935.52 and 94,776

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Solution

The fourth proportional to 242,623.68, 363,935.52 and 94,776 is: 142,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,623.68 : 363,935.52 = 94,776 : x
  2. Step 2: Convert to fraction form
    242,623.68/363,935.52 = 94,776/x
  3. Step 3: Cross multiply
    242,623.68x = 363,935.52 × 94,776
  4. Step 4: Simplify right side
    242,623.68x = 34,492,352,843.52
  5. Step 5: Solve for x
    x = 34,492,352,843.52/242,623.68
  6. Step 6: Final answer
    x = 142,164.00

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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.