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Finding the Fourth Proportional to 183,547.34, 253,297.79 and 102,970.05

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Solution

The fourth proportional to 183,547.34, 253,297.79 and 102,970.05 is: 142,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,547.34 : 253,297.79 = 102,970.05 : x
  2. Step 2: Convert to fraction form
    183,547.34/253,297.79 = 102,970.05/x
  3. Step 3: Cross multiply
    183,547.34x = 253,297.79 × 102,970.05
  4. Step 4: Simplify right side
    183,547.34x = 26,082,085,586.34
  5. Step 5: Solve for x
    x = 26,082,085,586.34/183,547.34
  6. Step 6: Final answer
    x = 142,100.05

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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.