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Finding the Fourth Proportional to 210,716.80, 315,633.60 and 98,492.80

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Solution

The fourth proportional to 210,716.80, 315,633.60 and 98,492.80 is: 147,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,716.80 : 315,633.60 = 98,492.80 : x
  2. Step 2: Convert to fraction form
    210,716.80/315,633.60 = 98,492.80/x
  3. Step 3: Cross multiply
    210,716.80x = 315,633.60 × 98,492.80
  4. Step 4: Simplify right side
    210,716.80x = 31,087,637,038.08
  5. Step 5: Solve for x
    x = 31,087,637,038.08/210,716.80
  6. Step 6: Final answer
    x = 147,532.79

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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.