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Finding the Fourth Proportional to 210,075.34, 289,907.88 and 114,585.46

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Solution

The fourth proportional to 210,075.34, 289,907.88 and 114,585.46 is: 158,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,075.34 : 289,907.88 = 114,585.46 : x
  2. Step 2: Convert to fraction form
    210,075.34/289,907.88 = 114,585.46/x
  3. Step 3: Cross multiply
    210,075.34x = 289,907.88 × 114,585.46
  4. Step 4: Simplify right side
    210,075.34x = 33,219,227,787.42
  5. Step 5: Solve for x
    x = 33,219,227,787.42/210,075.34
  6. Step 6: Final answer
    x = 158,130.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.