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Finding the Fourth Proportional to 212,430.52, 293,162.49 and 116,946.10

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Solution

The fourth proportional to 212,430.52, 293,162.49 and 116,946.10 is: 161,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,430.52 : 293,162.49 = 116,946.10 : x
  2. Step 2: Convert to fraction form
    212,430.52/293,162.49 = 116,946.10/x
  3. Step 3: Cross multiply
    212,430.52x = 293,162.49 × 116,946.10
  4. Step 4: Simplify right side
    212,430.52x = 34,284,209,871.79
  5. Step 5: Solve for x
    x = 34,284,209,871.79/212,430.52
  6. Step 6: Final answer
    x = 161,390.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.