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Finding the Fourth Proportional to 210,014.36, 314,894.85 and 83,674.08

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Solution

The fourth proportional to 210,014.36, 314,894.85 and 83,674.08 is: 125,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,014.36 : 314,894.85 = 83,674.08 : x
  2. Step 2: Convert to fraction form
    210,014.36/314,894.85 = 83,674.08/x
  3. Step 3: Cross multiply
    210,014.36x = 314,894.85 × 83,674.08
  4. Step 4: Simplify right side
    210,014.36x = 26,348,536,870.49
  5. Step 5: Solve for x
    x = 26,348,536,870.49/210,014.36
  6. Step 6: Final answer
    x = 125,460.64

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1.5x scale

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.