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Finding the Fourth Proportional to 152,203.80, 228,305.70 and 69,097.80

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Solution

The fourth proportional to 152,203.80, 228,305.70 and 69,097.80 is: 103,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,203.80 : 228,305.70 = 69,097.80 : x
  2. Step 2: Convert to fraction form
    152,203.80/228,305.70 = 69,097.80/x
  3. Step 3: Cross multiply
    152,203.80x = 228,305.70 × 69,097.80
  4. Step 4: Simplify right side
    152,203.80x = 15,775,421,597.46
  5. Step 5: Solve for x
    x = 15,775,421,597.46/152,203.80
  6. Step 6: Final answer
    x = 103,646.70

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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.