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Finding the Fourth Proportional to 342,547.23, 513,693.05 and 117,844.11

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Solution

The fourth proportional to 342,547.23, 513,693.05 and 117,844.11 is: 176,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,547.23 : 513,693.05 = 117,844.11 : x
  2. Step 2: Convert to fraction form
    342,547.23/513,693.05 = 117,844.11/x
  3. Step 3: Cross multiply
    342,547.23x = 513,693.05 × 117,844.11
  4. Step 4: Simplify right side
    342,547.23x = 60,535,699,701.22
  5. Step 5: Solve for x
    x = 60,535,699,701.22/342,547.23
  6. Step 6: Final answer
    x = 176,722.20

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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.