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Finding the Fourth Proportional to 186,307.12, 257,095.76 and 101,424.48

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Solution

The fourth proportional to 186,307.12, 257,095.76 and 101,424.48 is: 139,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,307.12 : 257,095.76 = 101,424.48 : x
  2. Step 2: Convert to fraction form
    186,307.12/257,095.76 = 101,424.48/x
  3. Step 3: Cross multiply
    186,307.12x = 257,095.76 × 101,424.48
  4. Step 4: Simplify right side
    186,307.12x = 26,075,803,768.20
  5. Step 5: Solve for x
    x = 26,075,803,768.20/186,307.12
  6. Step 6: Final answer
    x = 139,961.39

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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.