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Finding the Fourth Proportional to 130,015.80, 182,547 and 130,015.80

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Solution

The fourth proportional to 130,015.80, 182,547 and 130,015.80 is: 182,547

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,015.80 : 182,547 = 130,015.80 : x
  2. Step 2: Convert to fraction form
    130,015.80/182,547 = 130,015.80/x
  3. Step 3: Cross multiply
    130,015.80x = 182,547 × 130,015.80
  4. Step 4: Simplify right side
    130,015.80x = 23,733,994,242.60
  5. Step 5: Solve for x
    x = 23,733,994,242.60/130,015.80
  6. Step 6: Final answer
    x = 182,547

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.