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Finding the Fourth Proportional to 265,110.42, 365,849.46 and 157,678.08

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Solution

The fourth proportional to 265,110.42, 365,849.46 and 157,678.08 is: 217,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,110.42 : 365,849.46 = 157,678.08 : x
  2. Step 2: Convert to fraction form
    265,110.42/365,849.46 = 157,678.08/x
  3. Step 3: Cross multiply
    265,110.42x = 365,849.46 × 157,678.08
  4. Step 4: Simplify right side
    265,110.42x = 57,686,440,421.84
  5. Step 5: Solve for x
    x = 57,686,440,421.84/265,110.42
  6. Step 6: Final answer
    x = 217,594.01

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1.5x scale

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.