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Finding the Fourth Proportional to 145,415.10, 204,047.70 and 145,415.10

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Solution

The fourth proportional to 145,415.10, 204,047.70 and 145,415.10 is: 204,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,415.10 : 204,047.70 = 145,415.10 : x
  2. Step 2: Convert to fraction form
    145,415.10/204,047.70 = 145,415.10/x
  3. Step 3: Cross multiply
    145,415.10x = 204,047.70 × 145,415.10
  4. Step 4: Simplify right side
    145,415.10x = 29,671,616,700.27
  5. Step 5: Solve for x
    x = 29,671,616,700.27/145,415.10
  6. Step 6: Final answer
    x = 204,047.70

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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.