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Finding the Fourth Proportional to 117,547.20, 176,320.80 and 111,715.20

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Solution

The fourth proportional to 117,547.20, 176,320.80 and 111,715.20 is: 167,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,547.20 : 176,320.80 = 111,715.20 : x
  2. Step 2: Convert to fraction form
    117,547.20/176,320.80 = 111,715.20/x
  3. Step 3: Cross multiply
    117,547.20x = 176,320.80 × 111,715.20
  4. Step 4: Simplify right side
    117,547.20x = 19,697,713,436.16
  5. Step 5: Solve for x
    x = 19,697,713,436.16/117,547.20
  6. Step 6: Final answer
    x = 167,572.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.