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Finding the Fourth Proportional to 200,430.94, 276,526.02 and 114,328.06

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Solution

The fourth proportional to 200,430.94, 276,526.02 and 114,328.06 is: 157,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,430.94 : 276,526.02 = 114,328.06 : x
  2. Step 2: Convert to fraction form
    200,430.94/276,526.02 = 114,328.06/x
  3. Step 3: Cross multiply
    200,430.94x = 276,526.02 × 114,328.06
  4. Step 4: Simplify right side
    200,430.94x = 31,614,683,406.12
  5. Step 5: Solve for x
    x = 31,614,683,406.12/200,430.94
  6. Step 6: Final answer
    x = 157,733.55

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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.