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Finding the Fourth Proportional to 242,095.04, 334,040.64 and 146,608.64

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Solution

The fourth proportional to 242,095.04, 334,040.64 and 146,608.64 is: 202,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,095.04 : 334,040.64 = 146,608.64 : x
  2. Step 2: Convert to fraction form
    242,095.04/334,040.64 = 146,608.64/x
  3. Step 3: Cross multiply
    242,095.04x = 334,040.64 × 146,608.64
  4. Step 4: Simplify right side
    242,095.04x = 48,973,243,935.13
  5. Step 5: Solve for x
    x = 48,973,243,935.13/242,095.04
  6. Step 6: Final answer
    x = 202,289.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.