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Finding the Fourth Proportional to 180,075.90, 270,114.06 and 46,956.06

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Solution

The fourth proportional to 180,075.90, 270,114.06 and 46,956.06 is: 70,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,075.90 : 270,114.06 = 46,956.06 : x
  2. Step 2: Convert to fraction form
    180,075.90/270,114.06 = 46,956.06/x
  3. Step 3: Cross multiply
    180,075.90x = 270,114.06 × 46,956.06
  4. Step 4: Simplify right side
    180,075.90x = 12,683,492,008.20
  5. Step 5: Solve for x
    x = 12,683,492,008.20/180,075.90
  6. Step 6: Final answer
    x = 70,434.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.