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Finding the Fourth Proportional to 186,206.50, 256,962.81 and 101,322.10

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Solution

The fourth proportional to 186,206.50, 256,962.81 and 101,322.10 is: 139,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,206.50 : 256,962.81 = 101,322.10 : x
  2. Step 2: Convert to fraction form
    186,206.50/256,962.81 = 101,322.10/x
  3. Step 3: Cross multiply
    186,206.50x = 256,962.81 × 101,322.10
  4. Step 4: Simplify right side
    186,206.50x = 26,036,011,531.10
  5. Step 5: Solve for x
    x = 26,036,011,531.10/186,206.50
  6. Step 6: Final answer
    x = 139,823.32

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