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Finding the Fourth Proportional to 338,085.84, 507,385.74 and 125,055.30

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Solution

The fourth proportional to 338,085.84, 507,385.74 and 125,055.30 is: 187,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,085.84 : 507,385.74 = 125,055.30 : x
  2. Step 2: Convert to fraction form
    338,085.84/507,385.74 = 125,055.30/x
  3. Step 3: Cross multiply
    338,085.84x = 507,385.74 × 125,055.30
  4. Step 4: Simplify right side
    338,085.84x = 63,451,275,931.42
  5. Step 5: Solve for x
    x = 63,451,275,931.42/338,085.84
  6. Step 6: Final answer
    x = 187,678.00

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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.