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Finding the Fourth Proportional to 153,397.84, 230,152.12 and 53,572.80

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Solution

The fourth proportional to 153,397.84, 230,152.12 and 53,572.80 is: 80,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,397.84 : 230,152.12 = 53,572.80 : x
  2. Step 2: Convert to fraction form
    153,397.84/230,152.12 = 53,572.80/x
  3. Step 3: Cross multiply
    153,397.84x = 230,152.12 × 53,572.80
  4. Step 4: Simplify right side
    153,397.84x = 12,329,893,494.34
  5. Step 5: Solve for x
    x = 12,329,893,494.34/153,397.84
  6. Step 6: Final answer
    x = 80,378.53

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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.