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Finding the Fourth Proportional to 82,906.76, 124,256.10 and 65,307.08

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Solution

The fourth proportional to 82,906.76, 124,256.10 and 65,307.08 is: 97,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.76 : 124,256.10 = 65,307.08 : x
  2. Step 2: Convert to fraction form
    82,906.76/124,256.10 = 65,307.08/x
  3. Step 3: Cross multiply
    82,906.76x = 124,256.10 × 65,307.08
  4. Step 4: Simplify right side
    82,906.76x = 8,114,803,063.19
  5. Step 5: Solve for x
    x = 8,114,803,063.19/82,906.76
  6. Step 6: Final answer
    x = 97,878.67

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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.