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Finding the Fourth Proportional to 254,265.48, 350,917.20 and 146,835

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Solution

The fourth proportional to 254,265.48, 350,917.20 and 146,835 is: 202,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,265.48 : 350,917.20 = 146,835 : x
  2. Step 2: Convert to fraction form
    254,265.48/350,917.20 = 146,835/x
  3. Step 3: Cross multiply
    254,265.48x = 350,917.20 × 146,835
  4. Step 4: Simplify right side
    254,265.48x = 51,526,927,062
  5. Step 5: Solve for x
    x = 51,526,927,062/254,265.48
  6. Step 6: Final answer
    x = 202,650.11

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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.