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Finding the Fourth Proportional to 207,031.60, 310,547.40 and 73,916.20

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Solution

The fourth proportional to 207,031.60, 310,547.40 and 73,916.20 is: 110,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,031.60 : 310,547.40 = 73,916.20 : x
  2. Step 2: Convert to fraction form
    207,031.60/310,547.40 = 73,916.20/x
  3. Step 3: Cross multiply
    207,031.60x = 310,547.40 × 73,916.20
  4. Step 4: Simplify right side
    207,031.60x = 22,954,483,727.88
  5. Step 5: Solve for x
    x = 22,954,483,727.88/207,031.60
  6. Step 6: Final answer
    x = 110,874.30

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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.