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Finding the Fourth Proportional to 357,723.66, 536,185.83 and 155,085.84

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Solution

The fourth proportional to 357,723.66, 536,185.83 and 155,085.84 is: 232,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,723.66 : 536,185.83 = 155,085.84 : x
  2. Step 2: Convert to fraction form
    357,723.66/536,185.83 = 155,085.84/x
  3. Step 3: Cross multiply
    357,723.66x = 536,185.83 × 155,085.84
  4. Step 4: Simplify right side
    357,723.66x = 83,154,829,841.65
  5. Step 5: Solve for x
    x = 83,154,829,841.65/357,723.66
  6. Step 6: Final answer
    x = 232,455.49

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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.