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Finding the Fourth Proportional to 210,713.58, 316,070.46 and 98,356.50

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Solution

The fourth proportional to 210,713.58, 316,070.46 and 98,356.50 is: 147,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,713.58 : 316,070.46 = 98,356.50 : x
  2. Step 2: Convert to fraction form
    210,713.58/316,070.46 = 98,356.50/x
  3. Step 3: Cross multiply
    210,713.58x = 316,070.46 × 98,356.50
  4. Step 4: Simplify right side
    210,713.58x = 31,087,584,198.99
  5. Step 5: Solve for x
    x = 31,087,584,198.99/210,713.58
  6. Step 6: Final answer
    x = 147,534.79

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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.