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Finding the Fourth Proportional to 153,022.10, 214,405.90 and 153,022.10

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Solution

The fourth proportional to 153,022.10, 214,405.90 and 153,022.10 is: 214,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022.10 : 214,405.90 = 153,022.10 : x
  2. Step 2: Convert to fraction form
    153,022.10/214,405.90 = 153,022.10/x
  3. Step 3: Cross multiply
    153,022.10x = 214,405.90 × 153,022.10
  4. Step 4: Simplify right side
    153,022.10x = 32,808,841,070.39
  5. Step 5: Solve for x
    x = 32,808,841,070.39/153,022.10
  6. Step 6: Final answer
    x = 214,405.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.