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Finding the Fourth Proportional to 152,853.80, 229,280.70 and 146,730.20

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Solution

The fourth proportional to 152,853.80, 229,280.70 and 146,730.20 is: 220,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,853.80 : 229,280.70 = 146,730.20 : x
  2. Step 2: Convert to fraction form
    152,853.80/229,280.70 = 146,730.20/x
  3. Step 3: Cross multiply
    152,853.80x = 229,280.70 × 146,730.20
  4. Step 4: Simplify right side
    152,853.80x = 33,642,402,967.14
  5. Step 5: Solve for x
    x = 33,642,402,967.14/152,853.80
  6. Step 6: Final answer
    x = 220,095.30

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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.