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Finding the Fourth Proportional to 147,053.34, 202,878.63 and 86,587.02

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Solution

The fourth proportional to 147,053.34, 202,878.63 and 86,587.02 is: 119,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,053.34 : 202,878.63 = 86,587.02 : x
  2. Step 2: Convert to fraction form
    147,053.34/202,878.63 = 86,587.02/x
  3. Step 3: Cross multiply
    147,053.34x = 202,878.63 × 86,587.02
  4. Step 4: Simplify right side
    147,053.34x = 17,566,655,993.38
  5. Step 5: Solve for x
    x = 17,566,655,993.38/147,053.34
  6. Step 6: Final answer
    x = 119,457.72

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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.