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Finding the Fourth Proportional to 242,527.64, 334,643.73 and 135,095

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Solution

The fourth proportional to 242,527.64, 334,643.73 and 135,095 is: 186,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,527.64 : 334,643.73 = 135,095 : x
  2. Step 2: Convert to fraction form
    242,527.64/334,643.73 = 135,095/x
  3. Step 3: Cross multiply
    242,527.64x = 334,643.73 × 135,095
  4. Step 4: Simplify right side
    242,527.64x = 45,208,694,704.35
  5. Step 5: Solve for x
    x = 45,208,694,704.35/242,527.64
  6. Step 6: Final answer
    x = 186,406.36

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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.