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Finding the Fourth Proportional to 364,054.83, 545,653.32 and 164,141.16

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Solution

The fourth proportional to 364,054.83, 545,653.32 and 164,141.16 is: 246,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,054.83 : 545,653.32 = 164,141.16 : x
  2. Step 2: Convert to fraction form
    364,054.83/545,653.32 = 164,141.16/x
  3. Step 3: Cross multiply
    364,054.83x = 545,653.32 × 164,141.16
  4. Step 4: Simplify right side
    364,054.83x = 89,564,168,902.65
  5. Step 5: Solve for x
    x = 89,564,168,902.65/364,054.83
  6. Step 6: Final answer
    x = 246,018.35

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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.