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Finding the Fourth Proportional to 254,412.65, 351,064.58 and 146,980.37

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Solution

The fourth proportional to 254,412.65, 351,064.58 and 146,980.37 is: 202,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,412.65 : 351,064.58 = 146,980.37 : x
  2. Step 2: Convert to fraction form
    254,412.65/351,064.58 = 146,980.37/x
  3. Step 3: Cross multiply
    254,412.65x = 351,064.58 × 146,980.37
  4. Step 4: Simplify right side
    254,412.65x = 51,599,602,831.82
  5. Step 5: Solve for x
    x = 51,599,602,831.82/254,412.65
  6. Step 6: Final answer
    x = 202,818.54

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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.