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Finding the Fourth Proportional to 199,547.10, 299,320.65 and 164,117.70

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Solution

The fourth proportional to 199,547.10, 299,320.65 and 164,117.70 is: 246,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,547.10 : 299,320.65 = 164,117.70 : x
  2. Step 2: Convert to fraction form
    199,547.10/299,320.65 = 164,117.70/x
  3. Step 3: Cross multiply
    199,547.10x = 299,320.65 × 164,117.70
  4. Step 4: Simplify right side
    199,547.10x = 49,123,816,640.51
  5. Step 5: Solve for x
    x = 49,123,816,640.51/199,547.10
  6. Step 6: Final answer
    x = 246,176.55

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