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Finding the Fourth Proportional to 153,181.19, 211,241.59 and 102,196.01

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Solution

The fourth proportional to 153,181.19, 211,241.59 and 102,196.01 is: 140,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,181.19 : 211,241.59 = 102,196.01 : x
  2. Step 2: Convert to fraction form
    153,181.19/211,241.59 = 102,196.01/x
  3. Step 3: Cross multiply
    153,181.19x = 211,241.59 × 102,196.01
  4. Step 4: Simplify right side
    153,181.19x = 21,588,047,916.67
  5. Step 5: Solve for x
    x = 21,588,047,916.67/153,181.19
  6. Step 6: Final answer
    x = 140,931.45

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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.