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Finding the Fourth Proportional to 186,547.68, 257,429.28 and 101,663.04

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Solution

The fourth proportional to 186,547.68, 257,429.28 and 101,663.04 is: 140,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,547.68 : 257,429.28 = 101,663.04 : x
  2. Step 2: Convert to fraction form
    186,547.68/257,429.28 = 101,663.04/x
  3. Step 3: Cross multiply
    186,547.68x = 257,429.28 × 101,663.04
  4. Step 4: Simplify right side
    186,547.68x = 26,171,043,189.81
  5. Step 5: Solve for x
    x = 26,171,043,189.81/186,547.68
  6. Step 6: Final answer
    x = 140,291.44

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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.