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Finding the Fourth Proportional to 210,075.84, 289,929.15 and 119,445.38

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Solution

The fourth proportional to 210,075.84, 289,929.15 and 119,445.38 is: 164,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,075.84 : 289,929.15 = 119,445.38 : x
  2. Step 2: Convert to fraction form
    210,075.84/289,929.15 = 119,445.38/x
  3. Step 3: Cross multiply
    210,075.84x = 289,929.15 × 119,445.38
  4. Step 4: Simplify right side
    210,075.84x = 34,630,696,045.18
  5. Step 5: Solve for x
    x = 34,630,696,045.18/210,075.84
  6. Step 6: Final answer
    x = 164,848.54

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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.