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Finding the Fourth Proportional to 186,607, 257,508.32 and 106,023.88

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Solution

The fourth proportional to 186,607, 257,508.32 and 106,023.88 is: 146,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,607 : 257,508.32 = 106,023.88 : x
  2. Step 2: Convert to fraction form
    186,607/257,508.32 = 106,023.88/x
  3. Step 3: Cross multiply
    186,607x = 257,508.32 × 106,023.88
  4. Step 4: Simplify right side
    186,607x = 27,302,031,218.68
  5. Step 5: Solve for x
    x = 27,302,031,218.68/186,607
  6. Step 6: Final answer
    x = 146,307.65

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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.