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Finding the Fourth Proportional to 210,733.50, 316,034.64 and 70,459.32

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Solution

The fourth proportional to 210,733.50, 316,034.64 and 70,459.32 is: 105,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,733.50 : 316,034.64 = 70,459.32 : x
  2. Step 2: Convert to fraction form
    210,733.50/316,034.64 = 70,459.32/x
  3. Step 3: Cross multiply
    210,733.50x = 316,034.64 × 70,459.32
  4. Step 4: Simplify right side
    210,733.50x = 22,267,585,830.84
  5. Step 5: Solve for x
    x = 22,267,585,830.84/210,733.50
  6. Step 6: Final answer
    x = 105,667.04

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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.