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Finding the Fourth Proportional to 186,303, 257,098.14 and 101,415

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Solution

The fourth proportional to 186,303, 257,098.14 and 101,415 is: 139,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,303 : 257,098.14 = 101,415 : x
  2. Step 2: Convert to fraction form
    186,303/257,098.14 = 101,415/x
  3. Step 3: Cross multiply
    186,303x = 257,098.14 × 101,415
  4. Step 4: Simplify right side
    186,303x = 26,073,607,868.10
  5. Step 5: Solve for x
    x = 26,073,607,868.10/186,303
  6. Step 6: Final answer
    x = 139,952.70

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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.