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Finding the Fourth Proportional to 186,301, 257,095.38 and 101,413

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Solution

The fourth proportional to 186,301, 257,095.38 and 101,413 is: 139,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,301 : 257,095.38 = 101,413 : x
  2. Step 2: Convert to fraction form
    186,301/257,095.38 = 101,413/x
  3. Step 3: Cross multiply
    186,301x = 257,095.38 × 101,413
  4. Step 4: Simplify right side
    186,301x = 26,072,813,771.94
  5. Step 5: Solve for x
    x = 26,072,813,771.94/186,301
  6. Step 6: Final answer
    x = 139,949.94

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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.