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Finding the Fourth Proportional to 210,946.16, 316,420.50 and 86,287.16

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Solution

The fourth proportional to 210,946.16, 316,420.50 and 86,287.16 is: 129,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,946.16 : 316,420.50 = 86,287.16 : x
  2. Step 2: Convert to fraction form
    210,946.16/316,420.50 = 86,287.16/x
  3. Step 3: Cross multiply
    210,946.16x = 316,420.50 × 86,287.16
  4. Step 4: Simplify right side
    210,946.16x = 27,303,026,310.78
  5. Step 5: Solve for x
    x = 27,303,026,310.78/210,946.16
  6. Step 6: Final answer
    x = 129,431.26

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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.