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Finding the Fourth Proportional to 210,006.70, 314,973.60 and 76,818.40

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Solution

The fourth proportional to 210,006.70, 314,973.60 and 76,818.40 is: 115,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006.70 : 314,973.60 = 76,818.40 : x
  2. Step 2: Convert to fraction form
    210,006.70/314,973.60 = 76,818.40/x
  3. Step 3: Cross multiply
    210,006.70x = 314,973.60 × 76,818.40
  4. Step 4: Simplify right side
    210,006.70x = 24,195,767,994.24
  5. Step 5: Solve for x
    x = 24,195,767,994.24/210,006.70
  6. Step 6: Final answer
    x = 115,214.27

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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.