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Finding the Fourth Proportional to 357,156.23, 535,816.16 and 154,786.32

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Solution

The fourth proportional to 357,156.23, 535,816.16 and 154,786.32 is: 232,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,156.23 : 535,816.16 = 154,786.32 : x
  2. Step 2: Convert to fraction form
    357,156.23/535,816.16 = 154,786.32/x
  3. Step 3: Cross multiply
    357,156.23x = 535,816.16 × 154,786.32
  4. Step 4: Simplify right side
    357,156.23x = 82,937,011,602.93
  5. Step 5: Solve for x
    x = 82,937,011,602.93/357,156.23
  6. Step 6: Final answer
    x = 232,214.94

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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.