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Finding the Fourth Proportional to 200,952, 277,313.76 and 111,528

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Solution

The fourth proportional to 200,952, 277,313.76 and 111,528 is: 153,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,952 : 277,313.76 = 111,528 : x
  2. Step 2: Convert to fraction form
    200,952/277,313.76 = 111,528/x
  3. Step 3: Cross multiply
    200,952x = 277,313.76 × 111,528
  4. Step 4: Simplify right side
    200,952x = 30,928,249,025.28
  5. Step 5: Solve for x
    x = 30,928,249,025.28/200,952
  6. Step 6: Final answer
    x = 153,908.64

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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.