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Finding the Fourth Proportional to 186,290.08, 257,072.28 and 101,407

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Solution

The fourth proportional to 186,290.08, 257,072.28 and 101,407 is: 139,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,290.08 : 257,072.28 = 101,407 : x
  2. Step 2: Convert to fraction form
    186,290.08/257,072.28 = 101,407/x
  3. Step 3: Cross multiply
    186,290.08x = 257,072.28 × 101,407
  4. Step 4: Simplify right side
    186,290.08x = 26,068,928,697.96
  5. Step 5: Solve for x
    x = 26,068,928,697.96/186,290.08
  6. Step 6: Final answer
    x = 139,937.29

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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.