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Finding the Fourth Proportional to 210,941.36, 316,459.44 and 70,696.40

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Solution

The fourth proportional to 210,941.36, 316,459.44 and 70,696.40 is: 106,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,941.36 : 316,459.44 = 70,696.40 : x
  2. Step 2: Convert to fraction form
    210,941.36/316,459.44 = 70,696.40/x
  3. Step 3: Cross multiply
    210,941.36x = 316,459.44 × 70,696.40
  4. Step 4: Simplify right side
    210,941.36x = 22,372,543,154.02
  5. Step 5: Solve for x
    x = 22,372,543,154.02/210,941.36
  6. Step 6: Final answer
    x = 106,060.49

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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.