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Finding the Fourth Proportional to 141,701, 195,547.40 and 78,038.68

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Solution

The fourth proportional to 141,701, 195,547.40 and 78,038.68 is: 107,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,701 : 195,547.40 = 78,038.68 : x
  2. Step 2: Convert to fraction form
    141,701/195,547.40 = 78,038.68/x
  3. Step 3: Cross multiply
    141,701x = 195,547.40 × 78,038.68
  4. Step 4: Simplify right side
    141,701x = 15,260,260,973.43
  5. Step 5: Solve for x
    x = 15,260,260,973.43/141,701
  6. Step 6: Final answer
    x = 107,693.39

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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.