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Finding the Fourth Proportional to 145,967.71, 201,527.37 and 111,913.06

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Solution

The fourth proportional to 145,967.71, 201,527.37 and 111,913.06 is: 154,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,967.71 : 201,527.37 = 111,913.06 : x
  2. Step 2: Convert to fraction form
    145,967.71/201,527.37 = 111,913.06/x
  3. Step 3: Cross multiply
    145,967.71x = 201,527.37 × 111,913.06
  4. Step 4: Simplify right side
    145,967.71x = 22,553,544,650.45
  5. Step 5: Solve for x
    x = 22,553,544,650.45/145,967.71
  6. Step 6: Final answer
    x = 154,510.51

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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.