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Finding the Fourth Proportional to 503,537.40, 755,130.06 and 148,457.16

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Solution

The fourth proportional to 503,537.40, 755,130.06 and 148,457.16 is: 222,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,537.40 : 755,130.06 = 148,457.16 : x
  2. Step 2: Convert to fraction form
    503,537.40/755,130.06 = 148,457.16/x
  3. Step 3: Cross multiply
    503,537.40x = 755,130.06 × 148,457.16
  4. Step 4: Simplify right side
    503,537.40x = 112,104,464,138.23
  5. Step 5: Solve for x
    x = 112,104,464,138.23/503,537.40
  6. Step 6: Final answer
    x = 222,633.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.