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Finding the Fourth Proportional to 157,830.63, 217,806.03 and 86,210.67

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Solution

The fourth proportional to 157,830.63, 217,806.03 and 86,210.67 is: 118,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,830.63 : 217,806.03 = 86,210.67 : x
  2. Step 2: Convert to fraction form
    157,830.63/217,806.03 = 86,210.67/x
  3. Step 3: Cross multiply
    157,830.63x = 217,806.03 × 86,210.67
  4. Step 4: Simplify right side
    157,830.63x = 18,777,203,776.34
  5. Step 5: Solve for x
    x = 18,777,203,776.34/157,830.63
  6. Step 6: Final answer
    x = 118,970.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.