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Finding the Fourth Proportional to 256,165.94, 353,507.64 and 148,762.38

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Solution

The fourth proportional to 256,165.94, 353,507.64 and 148,762.38 is: 205,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,165.94 : 353,507.64 = 148,762.38 : x
  2. Step 2: Convert to fraction form
    256,165.94/353,507.64 = 148,762.38/x
  3. Step 3: Cross multiply
    256,165.94x = 353,507.64 × 148,762.38
  4. Step 4: Simplify right side
    256,165.94x = 52,588,637,874.58
  5. Step 5: Solve for x
    x = 52,588,637,874.58/256,165.94
  6. Step 6: Final answer
    x = 205,291.30

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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.