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Finding the Fourth Proportional to 102,158.40, 152,953.20 and 52,130.40

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Solution

The fourth proportional to 102,158.40, 152,953.20 and 52,130.40 is: 78,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,158.40 : 152,953.20 = 52,130.40 : x
  2. Step 2: Convert to fraction form
    102,158.40/152,953.20 = 52,130.40/x
  3. Step 3: Cross multiply
    102,158.40x = 152,953.20 × 52,130.40
  4. Step 4: Simplify right side
    102,158.40x = 7,973,511,497.28
  5. Step 5: Solve for x
    x = 7,973,511,497.28/102,158.40
  6. Step 6: Final answer
    x = 78,050.47

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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.