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Finding the Fourth Proportional to 140,415.40, 210,623.10 and 70,285.60

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Solution

The fourth proportional to 140,415.40, 210,623.10 and 70,285.60 is: 105,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,415.40 : 210,623.10 = 70,285.60 : x
  2. Step 2: Convert to fraction form
    140,415.40/210,623.10 = 70,285.60/x
  3. Step 3: Cross multiply
    140,415.40x = 210,623.10 × 70,285.60
  4. Step 4: Simplify right side
    140,415.40x = 14,803,770,957.36
  5. Step 5: Solve for x
    x = 14,803,770,957.36/140,415.40
  6. Step 6: Final answer
    x = 105,428.40

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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.