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Finding the Fourth Proportional to 242,297.64, 334,370.72 and 134,865.36

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Solution

The fourth proportional to 242,297.64, 334,370.72 and 134,865.36 is: 186,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,297.64 : 334,370.72 = 134,865.36 : x
  2. Step 2: Convert to fraction form
    242,297.64/334,370.72 = 134,865.36/x
  3. Step 3: Cross multiply
    242,297.64x = 334,370.72 × 134,865.36
  4. Step 4: Simplify right side
    242,297.64x = 45,095,027,526.26
  5. Step 5: Solve for x
    x = 45,095,027,526.26/242,297.64
  6. Step 6: Final answer
    x = 186,114.18

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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.